{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Slice Sampling\n",
    "\n",
    "Given the value $z$ we evaluate $\\tilde p(z)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from numpy.random import rand, seed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "def p_hat(x):\n",
    "    pi1, pi2 = 0.4, 0.6\n",
    "    return pi1 * np.exp(-(x + 1)**2) + pi2 * np.exp(-(x - 5) **2  / 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 267,
       "width": 372
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xrange = np.linspace(-5, 8, 500)\n",
    "plt.plot(xrange, p_hat(xrange))\n",
    "plt.title(r\"$\\tilde p(x)$\", fontsize=15);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.14715177648231534"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "metadata": {},
   "outputs": [],
   "source": [
    "z = -2\n",
    "pz = p_hat(z)\n",
    "u = rand() * pz"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> One approach to the choice of region involves starting with a region containing $z^{(\\tau)}$ having some width $w$ and then testing each of the end points to see if they lie within the slice"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAugAAAIXCAYAAADOnqtcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nOzdeXhcWX3n/89X+y5btuVN3vd9b3e3oWma0DRbwpBAIAkEGMgCv4GHMJNhAjNAZghJfhMgnUAISQjpEEgIIRBIgGbpbujV7X3fLduyvMrWvled+ePWcqtsSSWpSreW9+t5/FRd1dWtI9uSPnXqe77HnHMCAAAAkB2Kgh4AAAAAgDgCOgAAAJBFCOgAAABAFiGgAwAAAFmEgA4AAABkEQI6AAAAkEUI6AAAAEAWIaADAAAAWYSADgAAAGQRAjoAAACQRQjoAAAAQBYhoAMAAABZhIAOAAAAZBECOgDkETNbZGavNLPGpI9vNbM3mFlDUGMDAKSGgA4AecLMfk3SGUmPS2o2s//me/j3Jf2rpDlBjA0AkDpzzgU9BgDAJJlZiaSLkuZKelbSPZJKJH1L0vclfSZy3OCc6w5qnACAsTGDDgD5Ybu8cP7vzrldkn5OUrekN0j6gqRKSd9INZyb2X8yM2dm/WY2PxMDNrO3RZ6jPbkkBwAKGQEdAPJDNEQfkSTn3FOSHpT0gqQ+ST+W9MFULmRmFZI+HTn8onPuclpHGvdVSack1Uv6VIaeAwByDiUuAIAEZvY7kv5EUr+kZc651gw+19skPSYpLGm9c+54pp4LAHIFM+gAgBgzq5T04cjhlzMZziO+KumCvN9HH8vwcwFATiCgAwD83i5pVuT+Y5l+MudcSNI/RA5/ycwWZvo5ASDbEdABAH6/Hbk965x7boqe8yuR22JJvzFFzwkAWYuADgA5zsyeiXRDuRE5Xm5mnzazA2Z2y8wGzeyCmX1xtBlqM9sgaVPk8KtjPOePIs/pzOyto5xXbGb/5jv3/08+J1J3fiBy+KtmZmN9zQCQzwjoAJDDzKxI0sbI4X4z+6CkY/I6tmySNF1SqaSFkt4TOWfzCJd7g+/+E2M89YclRbsMfNzMikc47y8kvT5y/yuSfneE86LPt1jxFwkAUJAI6ACQ21ZIqoncXyOvPWKxpO9Keq+kt0j635JuRs5pkPQPkWCf7JWR27CkPaM9qXNuj6RvRA5XSnpb8jlm9nF5Lwok6QeS3uVGbh32vO/+q0Z7bgDId7RZBIAcZmZvkfQ134duSHqzc+7JpPMWSjokr+e4JD3snPuh7/FiSZ2SqiQddc6tT+G5V0o6Km+H0vOSVjnnhiKPvVvSX0VO3S3pIedczyjXWiSpOXL4r865N471/ACQr5hBB4DcttV3v1/SI8nhXJKccxclfcb3oQeSTlkqL5xL0slUntg5d0rSlyKHSyS9S5LM7HXydi+VvI2IXjtaOI9c64K8DZWkeMkOABQkAjoA5LYtvvt/5JzbN8q5P/XdX5D02CLf/VvjeP5PKB6sP2pmL5P0T/LKbK5IepVz7uZIn5zkdnRsLBQFUMgI6ACQ26ILPvskfXaMcy/57icv6mzw3U85oEc2Mno0ctgk6cfyZuI75M3mN6d6LUltkdsySdXj+DwAyCsEdADIUWa2QNLMyOG/O+fax/iUGt/9a0mPlfvud41zKH+o+Ox3saQBSb/gnDs0zut0+u5XjvNzASBvENABIHf5y1ueTOH8lb77F5MeG/DdrxvnOBZI8pekfN0599Q4ryHFF7BK8bIZACg4BHQAyF3+BaKpLOx8ue/+j5Ie85e1NChFke4w35c0zffhN4+2IdIoos87KGnURaUAkM8I6ACQu/wz6J0jniXJzCokvTlyeN45dyzplGbf/ZQCupnNkNfffJ683umPRR4ql/T7qVwjSfR5L47SLx0A8h4BHQBylz+gzxvj3PcoHoD/5C6Pn1d81nrVWE9sZlXyNkNaHfnQByS9U9KRyPHbzGzdWNfxXW+xpIrI4Xhr1wEgrxDQASAHRWav/a0Sd41y7hLFZ7QvKr6BUIxzLiRpb+RwtZmNWIduZiWSvi7p3siHPuWc+3PnXFjSxyIfK5L0Byl8KVE7ffdfGMfnAUDeIaADQG7amnT8PjNbkXySma2VV4YyTdKwpF91zg2OcM3ozqJFkraP8tx/Jem1kftfds79XvQB59w3FQ/6P29m94/6VcT5A/oPUvwcAMhLBHQAyE3+8pZvymtL+IKZfdLM3mxm7zGzv5e0T1I0uH/AOff0KNf8V9/9B+92gpl9StI7Iof/Ia90Jtn/8t3/w1Gezy+6gPW8c+5gip8DAHnJWIcDALnHzL4m6S2SQvJ6oX9TiV1a/Lokvc859/cpXHe/vM2Pzjrnlic99l8U35Rot6SHnHN37bZiZs9Iis6ev9Y59x+jPOcaSdFFq//HOfc/xxonAOQzZtABIDdFZ9BPRTYoekTShyTtl9fRpVveYss/kLQilXAe8fnI7TJ/eYqZvVnxnUpPywvdo7VC9IfsT5nZaL9vfi1yG9Jd6uMBoNAwgw4AOcbMquWF8CJJX3PO/Uoar10h6YKkRklfdM79ZrquPcLzFUs6I2mxpH9yzr0lk88HALmAGXQAyD2bFf/5vT+dF3bO9SteN/52MxurfeNkvVVeOA9L+kSGnwsAcgIBHQByj3+B6IEMXP8v5PVFr5D0PzJwfUmx2fOPRg6/7Jw7nqnnAoBcQkAHgNyT0YAemUX/ncjhe8xsfrqfI+Kt8jZF6lAGXwgAQK6hBh0AcoyZ7ZMX0i8755qCHg8AIL2YQQeAHGJmpZLWRQ4zUd4CAAgYM+gAAABAFmEGHQAAAMgiBHQAAAAgixDQAQAAgCxCQAcAAACyCAEdAAAAyCIlQQ9gKpnZeUl1kpoDHgoAAADy22JJnc65JeP9xIIK6JLqKisrG9asWdMQ9EAAAACQv44fP66+vr4JfW6hBfTmNWvWNOzduzfocQAAACCPbdu2Tfv27WueyOdSgw4AAABkEQI6AAAAkEUI6AAAAEAWIaADAAAAWYSADgAAAGQRAjoAAACQRQjoAAAAQBYhoAMAAABZhIAOAAAAZBECOgAAAJBFCOgAAABAFiGgAwAAAFkkbQHdzJrM7Etm1mpmA2bWbGafNbPpE7jWBjN7zMwuRa513cyeMrO3p2u8AAAAQDYqScdFzGyZpGclNUr6tqQTku6R9AFJj5jZLudcW4rXeoekv5bUK+m7kpolTZO0XtJrJD2WjjEDAAAA2SgtAV3S5+WF8/c75/4s+kEz+7SkD0r6pKTfGusiZnavvHB+RNIjzrmrSY+Xpmm8AAAAQFaadImLmS2V9LC8me7PJT38MUk9kt5mZtUpXO6PJRVL+rXkcC5JzrmhyY0WAADkOudc0EMAMiodM+gPRW4fd86F/Q8457rM7Bl5Af5eST8e6SJm1iTppZL2SDpqZi+XtE2Sk3RA0hPJ1x/lWntHeGh1Kp8PAACyx/XOfj323AX96Pg1Nbf1aDjktLChSg+snKW33rNQq+bUBj1EIK3SEdBXRW5PjfD4aXkBfaVGCeiSdvjO/4mkB5MeP2xmb3TOnZngOAEAQA4JhZ2+8NRZPfrj0xoYTpyjO3ezR+du9uix55r1KzsX6vdes0ZVZemq3AWClY7/yfWR244RHo9+fNoY12mM3L5Z0k1Jb5QX6GfJK5V5m6R/N7MNzrnB0S7knNt2t49HZta3jjEOAAAQsN7BYf32V/bpqVM3Rj0v7KSvPH9Re5pv62/esUPzp1VO0QiBzJmKl5oWuR2rYKzYd/tu59x3I8edZvbrktZI2i7pFyV9Le2jBAAAWaF3cFhv/5vd2nPhduxj6+bV6X0vX65dy2eqtNi0/2K7/vKn5/TTSIA/cbVLb/3i8/rH37hX8wjpyHHp6IMenSGvH+HxuqTzRhL9LhyQ9B/+B5y3GuTbkcN7xjtAAACQG0Jhp/d/7UBCOP/tB5fp2+/bpddsmKv6ylJVlZVo1/KZ+rt37tAfvnGDSou9ucCLt3r1jr/dre6B4aCGD6RFOgL6ycjtyhEeXxG5HalGPfk6XSMsBo1+p/KyGACAPPWnPz6tHx2/Fjv+6GvX6L8/slolxXdGFjPTW+5ZqC/82rZYSD91rVu/808H6PSCnJaOgP5E5PZhM0u4npnVStolqU/S82Nc55C82vOZZjb7Lo+vj9w2T3yoAAAgWz1/rk1//pPTsePffGCp3v3SpWN+3ivWzNYf/eLG2PHjx67pa7svZWSMwFSYdEB3zp2V9LikxZLel/TwJyRVS3rMOdcT/aCZrTazhJaHzrlhSX8ZOfxjf9g3sw2S3iFpWNI3JjtmAACQXfoGQ/rdbxxSODLxfd/SGfrdR1LvjvzGrU369fsWxY7/93eP6dKt3nQPE5gS6ZhBl6T3Srou6VEz+5aZfcrMfiJvF9FTkj6SdP7xyJ9kfyBvpv3tkvaY2afN7O8lvSCpQtJ/p80iAAD5509/fFoXI4G6rqJEn/nlzSousjE+K9H/eM0aLW+skST1DYX0ie8cTfs4gamQloAemUXfLunLknZK+pCkZZIelXSfc64txev0SnqFvJn3Knkz8j8v6VlJr3HOfTod4wUAANmj+WaP/ubpc7Hj33vNGs2prxj3dSpKi/XHvxQvdfnR8ev6sa+eHcgVaWuz6Jy7JOmdKZ474kviSEj/eOQPAADIc3/0/RMaCnm1LdsWTdebty+Y8LW2Lpyut96zIFaD/offO6GXrZx110WmQLbifysAAAjMoZZ2fe/I1djx/3zdWhWNs7Ql2X99eJVqyr05yNPXu/Uv+1omdT1gqhHQAQBAYD73RHxp2Ws3ztXmBWNtPD62GTXl+s0H4t1f/vyJMxoO3a2DM5CdCOgAACAQp6916QdH4zXi739oxShnj8+7XrJE06pKJUmXbvUlzNID2Y6ADgAAAvEXT56N3X/l2tlaNac2bdeuLi/R2+9bHDv+wlNn2bwIOYOADgAAptzFtl59+2Br7Pi9Dy5L+3P8+n2LVFHqRZ2jrZ16+szNtD8HkAkEdAAAMOX+5ulzCkV2Jdq1fIa2LJye9ueYUVOe0BHmL586N8rZQPYgoAMAgCnVOzisb+67HDv+7Zctz9hzveelS2MbHj195qZOXO3M2HMB6UJABwAAU+o7B1vVNTAsSVo6s1q7ls/I2HMtaKjSI+vnxI7/MdIfHchmBHQAADClvvrCxdj9t96zUGaT63s+ll+5Z2Hs/jf3tah/KJTR5wMmi4AOAACmzJHLHTrY0iFJKisu0i9ua8r4c963dIYWNlRJkjr7h/V9Wi4iyxHQAQDAlPnq7vjs+as3zFFDdVnGn7OoyPTLO+KLRb/mGwOQjQjoAABgSvQODuvb++OLQ39156Ipe+43bWuKLRZ94fwtnbvRPWXPDYwXAR0AAEyJHx2/rp5Br/576axq7Vic/taKI2msq9BDqxtjx1/f0zJlzw2MFwEdAABMiX87EJ89/0+b52d8cWiyX/b1RP/OwVZ2FkXWIqADAICMa+8d1FOnbsSOf37zvCkfwwMrZ6m+slSSdLm9T/sutk/5GIBUENABAEDGfe/IVQ2FvBnrTQumadGM6ikfQ1lJkV7t64n+nYOtUz4GIBUEdAAAkHHf9pW3/MKmqZ89j3q977n//fAVhcKUuSD7ENABAEBGXe3o1wvnb0mSikx63ca5gY3l3qUzNLOmXJJ0o2tAL5xvC2wswEgI6AAAIKO+e6hV0fWY9y2boca6isDGUlxkCS8QvnPwSmBjAUZCQAcAABn1+NFrsfuv3xhceUtsDJviAf17R65oKBQOcDTAnQjoAAAgY252D2jPhXh5yyvXzg54RNKWBdM1r96bxW/vHdKLkfIbIFsQ0AEAQMb85Ph1Rddhbl/UoBmR+u8gFRVZwguFx49dG+VsYOoR0AEAQMY8fuxq7P7D64KfPY965dp4u8UfHrvGpkXIKgR0AACQET0Dw/rp6Zux42wob4m6Z0mDastLJHmbFp242hXwiIA4AjoAAMiIn52+ocFhbwHm6jm1gWxONJKykiI9uLoxdvxDylyQRQjoAAAgI/zdWx7OotnzKP+MPgEd2YSADgAA0m44FNaPT1yPHT+8bs4oZwfjZStnqaTIJEmHL3foSkdfwCMCPAR0AACQdgdb2tXRNyRJml1XrnXz6gIe0Z3qK0t179IZseMfHb8+ytnA1CGgAwCAtHvy5I3Y/QdXNsrMAhzNyH5uTbwO/amTBHRkBwI6AABIu6dO+QL6qlkBjmR0D66KB/Rnz7bFFrUCQSKgAwCAtLrZPaBDLR2SpOIi0/3LZwY8opEtnlmthQ1VkqTewVBs11MgSAR0AACQVj/1zZ5vWzhd9ZWlAY5mbC9bGZ/h98/8A0EhoAMAgLTy15+/LIvLW6ISAvpJAjqCR0AHAABpEwo7/ey0L6CvzP6Aft+yGSot9haxnrjapWud/QGPCIWOgA4AANLmUEu7bvd67RVn1WZne8Vk1eUl2r6oIXb8U8pcEDACOgAASJufnb4Zu//AillZ214xmb8Uhzp0BI2ADgAA0uaZM/GA/tIV2du9JdkDK+IB/ekzNxUOuwBHg0JHQAcAAGnRNxjS/ovtseP7l80Y5ezssmZurWbWlEuS2nuHdOxKZ8AjQiEjoAMAgLR4sfmWBkPeRj8rGmvUWFcR8IhSZ2a6z/eC4rmzbQGOBoWOgA4AANLimbPx8pZdWbw50Uh2+QK6/2sBphoBHQAApMWzZ+KzzrlU3hJ1/7L4i4rd529pKPJuADDVCOgAAGDS2nsHdaS1Q5JUZNLOpbkX0BfOqFLT9EpJUu9gSIda2sf4DCAzCOgAAGDSnjvbJhdpfLKhaZrqK0uDHdAE+Wf+nzlDHTqCQUAHAACT5q/Zfsny3Js9j/KXuTxLHToCQkAHAACT5u96smtZ7i0QjfLPoO+70K7+oVCAo0GhIqADAIBJudk9oLM3eiRJZcVF2rpoesAjmrjGugotb6yRJA2GwtrTfDvgEaEQEdABAMCkvHj+Vuz+xqZ6VZQWBziayfPPou8+Tx06ph4BHQAATMoLvoB+z5KGAEeSHjsWx78G/9cGTBUCOgAAmJQXm/MroPu/hgOX2jUwTB06phYBHQAATFhn/5COXemU5PU/35bD9edRs+sqtGhGlSRpYDisI5c7Ah4RCg0BHQAATNje5tux/udr59WptiI3+58n85e57D7PQlFMrbQFdDNrMrMvmVmrmQ2YWbOZfdbMUn4pbWZPmpkb5U9FusYLAAAmb7e/vGVx7vY/T3ZPQkBnoSimVkk6LmJmyyQ9K6lR0rclnZB0j6QPSHrEzHY558bzv/sTI3x8eFIDBQAAabU7zxaIRu3wfS17LtxWKOxUXGQBjgiFJC0BXdLn5YXz9zvn/iz6QTP7tKQPSvqkpN9K9WLOuY+naVwAACBD+odCOtTSHjvesTj368+jFs+o0syact3sHlBX/7BOXu3S2nl1QQ8LBWLSJS5mtlTSw5KaJX0u6eGPSeqR9DYzq57scwEAgOyx/2K7hkJeAfryxhrNqCkPeETpY2ba6ZtF93eqATItHTXoD0VuH3fOhf0POOe6JD0jqUrSvale0Mx+2cw+bGa/Y2avNrNxfceb2d67/ZG0ejzXAQAAI8vX8pYo/zsCuwnomELpKHFZFbk9NcLjp+XNsK+U9OMUr/mPScfXzex9zrlvTGB8AAAgA3Y3x5eX7czHgL7Ev1D0lpxzMqMOHZmXjhn0+sjtSE1Cox+flsK1vi3p9ZKaJFXKm/H+VORz/8nMXp3KgJxz2+72R97iVQAAMElDobD2XfDXn+dfQF89p0615d5c5o2uAV1o6w14RCgUU9EHPfpS0411onPuM8657zrnLjvn+p1zJ51zvyfpQ/LG+geZHCgAAEjNkcsd6hvydthsml6pedMqAx5R+hUXmbZR5oIApCOgR2fI60d4vC7pvIn4a3ktFjebWe0krgMAANIg3+vPo/zvDLx4noCOqZGOgH4ycrtyhMdXRG5HqlEfk3OuX1JX5JBuMAAABGzvhfjumvlY3hJFJxcEIR0B/YnI7cNmlnC9yGz3Lkl9kp6f6BOY2SpJ0+WF9JsTvQ4AAJg855z2XYzXn29dmD/9z5NtaKpXWYkXb5rbenW9qz/gEaEQTDqgO+fOSnpc0mJJ70t6+BPyZrwfc871RD9oZqvNLKHloZktNbP5ydc3s5mS/jZy+I/OOXYTBQAgQC23+3Sze0CSVFteohWNNQGPKHPKS4q1cX68ine/74UJkCnp2kn0vZKelfSomb1C0nFJOyW9XF5py0eSzj8eufX3KnpA0l+b2VOSzkq6JWmhpNfIq2/fI+l30zReAAAwQfsuxstbNi+cpqKi/G49uHXRdO2JlPTsu3hbr1o3J+ARId+lJaA7586a2XZJvy/pEXmh+oqkRyV9wjmXStHWXklfkbRN0mZ5i0u7JB2W9HVJf+mcG0zHeAEAwMTt89Wf53N5S9TWhfFO0cygYyqkawZdzrlLkt6Z4rl3vNR2zh2W9I50jQcAAGTGXt8M+tZF+R/Qt/hehBxqaddQKKzS4qnoVI1Cxf8uAACQst7BYR2/0hU73rwglX0Ic9vsugrNj/R57x8K64Tv6wcygYAOAABSdqilQ6Gwt/fgisYa1VeWBjyiqbHFV+bir8EHMoGADgAAUuYPp4VQfx7l/1r3E9CRYQR0AACQsn0XfP3PF+V/eUuUv9Z+HwtFkWEEdAAAkBJvg6L47PG2AlggGrV2bl1sw6KLt3pjfeCBTCCgAwCAlFxo69WtHq/jcV1FiZbOzN8NipKVlRRpg2/DIn+rSSDdCOgAACAl/tnzLQun5/0GRckS+qFfoswFmUNABwAAKSnUBaJR/q+ZGXRkEgEdAACkpFAXiEYlbljUoeFQOMDRIJ8R0AEAwJh6BoZ14mqnJMmsMDYoSjanvkLz6iskSX1DIZ24yoZFyAwCOgAAGNOhlg5F9ifSysZa1VYUxgZFybYsoh86Mo+ADgAAxnSwJV7eUoiz51EJdej0Q0eGENABAMCYDvkC+qYCDuhbfJ1cDtLJBRlCQAcAAGM6eKkjdn/TgvpRzsxva+fWqSTSXvLczR519A0FPCLkIwI6AAAY1fWufl1u75MkVZQWaeXs2oBHFJyK0mKtnhv/+g+3dIxyNjAxBHQAADCqQ77Z8/Xz6lVaXNjxYWOTr8ylhTIXpF9hf4cBAIAxHaT+PMGmpniJzyECOjKAgA4AAEZ14BIB3S9hBv0SJS5IPwI6AAAYkXMuoVvJ5iYC+orGGlWWFkuSrnb263pnf8AjQr4hoAMAgBE1t/Wqs39YkjS9qlQLGioDHlHwSoqLtH5+Xez4IAtFkWYEdAAAMKKDSeUtZhbgaLJHYpkLdehILwI6AAAYUUL9OeUtMf5afDq5IN0I6AAAYET+8LmZBaIxiZ1cOuScC3A0yDcEdAAAcFdDobCOtnbGjjc2Fe4OoskWNlRpWlWpJKmjb0gX2noDHhHyCQEdAADc1cmrXRocDkuSFjRUakZNecAjyh5mxoZFyBgCOgAAuCvqz0eXXOYCpAsBHQAA3FVC/3Pqz+9AJxdkCgEdAADclb9sYyMz6Hfwz6Afae3QcCgc4GiQTwjoAADgDn2DIZ253i1JMpPWzasb4zMKT2NdhebWV0iS+ofCOh35+wImi4AOAADucOxKp8KRzoHLZtWourwk2AFlKX9nG8pckC4EdAAAcIcjl+OLHjfMp73iSBI3LGKhKNKDgA4AAO7gD+iUt4zM393mEK0WkSYEdAAAcIfDzKCnZL3v7+bE1S71D4UCHA3yBQEdAAAk6B8KJSx4XEdAH1F9ZamWzqyWJIXCLmHnVWCiCOgAACDBiatdCkVWiC6dWa0aFoiOyl+HTpkL0oGADgAAEvjLW9Yzez6mjewoijQjoAMAgARHWqg/Hw//35H/xQ0wUQR0AACQ4Eirr4PLfDq4jGXtvDoVmXf/7I1u9QwMBzsg5DwCOgAAiBkYDunUta7YMSUuY6sqK9GyWTWSJOek41dYKIrJIaADAICYk1e7NBTyFogunlGluorSgEeUGyhzQToR0AEAQMyRy/HZX9orpm49AR1pREAHAAAxbFA0MRt8nVyOENAxSQR0AAAQc4SAPiFr59bJIgtFz1zvVu8gC0UxcQR0AAAgSRocDuvk1fgC0XXz6OCSquryktiOomEWimKSCOgAAECSdOpalwZDYUnSgoZKTasqC3hEuSVhoSgbFmESCOgAAEBSYnnL+nmUt4xX4kJRZtAxcQR0AAAgKXGDIvqfj59/Bv1oKzPomDgCOgAAkJQ468sC0fFbN78+tlD09PVu9Q+Fgh0QchYBHQAAaCgUTljYyAz6+NWUl2hJZKFoKOx0jIWimCACOgAA0Jnr3Roc9haIzp9WqYZqFohOhP+dB/qhY6II6AAAIGGDovXzaa84UXRyQTqkLaCbWZOZfcnMWs1swMyazeyzZjZ9Etd8wMxCZubM7P+ka6wAACDRUTq4pMW6ef5OLgR0TExaArqZLZO0V9I7Je2W9BlJ5yR9QNJzZjZjAteslfR3knrTMUYAADCyhBn0JgL6RK3zvfvAQlFMVLpm0D8vqVHS+51zb3DOfdg595C8oL5K0icncM0/lVQv6VNpGiMAALiL4VA4YUEjM+gTV1dRmrBQlB1FMRGTDuhmtlTSw5KaJX0u6eGPSeqR9DYzqx7HNX9B3mz8+yW1TnaMAKbGUCisU9e6dLS1Q139Q0EPB0CKzt3sUf+Qt0B0Tl2FZtWWBzyi3ObvgHOklYCO8StJwzUeitw+7pwL+x9wznWZ2TPyAvy9kn481sXMrFHSX0n6lnPuK2b2jvEOyMz2jvDQ6vFeC8DYbvUM6jM/PKVvHbisrv5hSVJJkeklK2bqv71qVUJNJoDs41/MSHvFydswv07fOejNLx5hoSgmIB0lLqsit6dGePx05HZlitf7orxx/dZkBgVgajx79qYe+pMn9ffPX4iFc0kaDjs9efKGXvdnT+sLT52Vcy7AUQIYjb/+nA2KJs//IoeFopiIdMygR/8XjvQ/MPrxaWNdyMzeJSEWIMQAACAASURBVOkXJP2yc+7aRAfknNs2wvX3Sto60esCSPSjY9f02/+wV0OhePhurC1XdXmJzt/skSQ5J/3h906orXtAH3nt2qCGCmAU/m3pabE4ef53DU9d61L/UEgVpcUBjgi5Jh0BfSyRTW816vSZmS2W9FlJ/+yc+3qGxwRgkg63dOi/fG1/LJw31pbrU2/coIdWN8rMdOZ6lz78L4e158JtSdJf/ey85tZX6l0vWRLksAEkCYWdjvrqpJlBn7z6ylItmlGlC229Gg47nbzapU0LxpynBGLSUeISfdk90nd0XdJ5I/mSpD5J703DmABkUFf/kH7rK3vVF2kftrChSt987/16xZrZMvNeky9vrNU/vGenHl47O/Z5n/yP49p/8XYgYwZwd+dvdqt30PtebqwtV2NdRcAjyg+UuWAy0hHQT0ZuR6oxXxG5HalGPWqrvFaNNyIbEzkzc5L+NvL4RyIf+9bkhgtgsn7/O8d0ub1PklRXUaK/fecONU2vuuO88pJiPfrWLdqy0Js5CoWdPvhPB9Q7OHzHuQCCceSyr70is+dp438n4ggBHeOUjhKXJyK3D5tZkb+TS2SzoV3yZsafH+M6j0m68ze8F/AfkHRA3mZI+yc9YgAT9sK5Nv3z3pbY8R+8cYOWzaoZ8fyK0mI9+pYtevWf/kzdA8NqbuvVF548q995eNWInwNg6iRsUERAT5sNzKBjEiY9g+6cOyvpcUmLJb0v6eFPSKqW9Jhzrif6QTNbbWYJLQ+dc+93zr07+Y/iM+j/HvlYcq91AFMkFHb6+HeOxY5fu2GuXrdx3pift6ChSh997ZrY8Rd+ek6XbrFJMJAN6OCSGeuTFooODLOjKFKXrp1E3yvpuqRHzexbZvYpM/uJpA/KK235SNL5xyN/AOSQb+2/HNsVr7K0WB993ZoxPiPuzdsXaGNk+/DB4bA+88Oxqt4AZFo47HSs1V/iQgeXdKmvKtXCBq8wYCjkdOpqd8AjQi5JS0CPzKJvl/RlSTslfUjSMkmPSrrPOdeWjucBEJzhUFh/9pPTsePfeGCp5tZXpvz5RUWm//W6eJvFbx24rLM3+IUFBKm5rUfdA96akJk1ZZrDAtG0oswFE5WuGXQ55y45597pnJvrnCtzzi1yzn3AOXfrLueac87udp27nPvlyPkfTddYAYzfvx1sVXObV5ZSX1mq//zS8bdL3L64QQ+snCVJCjvpz39yJq1jBDA+/tC4bl59rAsT0oNOLpiotAV0APnLOacv/vRc7Pg/v2SJ6ipKJ3StD/7citj97xxs1ZWOvkmPD8DE0P88s/wlQ/7NoICxENABjOnZs206cbVLkld7/uv3LZ7wtbYsnK57ljRIkobDTn/37IV0DBHABBxuoYNLJvkXip640qXB4fAoZwNxBHQAY/rbZ87H7r9pe5PqqyY2ex71npcujd3/2u6L6h+iuwEw1ZxzOtLqD+gsEE236dVlaprurdUZDIV1+npXwCNCriCgAxjV9c5+/eTE9djxO+5fPOlrvmJ1Y6y7QUffkB4/dm3S1wQwPhdv9aqr31sgOr2qVPOnpb7oG6nzz6KzYRFSRUAHMKpv7r+ssPPu71zSoKWjbEqUqqIi05u2NcWO/3nPpUlfE8D4JG9QxALRzNjQ5A/onaOcCcQR0AGMyDmXEJ7ftH1B2q79i9uaFM0DT5+5qZbbbFwETCV2EJ0a6+bFS4fo5IJUEdABjGjfxXadveFtAlxdVqzXbJiTtmvPm1apl67wWi46J/3L3stpuzaAsR29TAeXqeB/8XP8SqeGQywUxdgI6ABG9I298dnz122cp6qykrRe/83bfWUuey8pHK2lAZBRzrmE2VwCeubMrCnX3HpvA6iB4bDOsEEbUkBAB3BXfYMhfefgldjxm3c0jXL2xLxy7WxNi3SEabndp+fPsekwMBVabvepo29IkrfxWLTTCDLDP4tOHTpSQUAHcFdPnLwe2wJ86cxqbV04Pe3PUV5SrF/YNC92/N3DV0Y5G0C6HLmc2F6RBaKZRScXjBcBHcBdfe/I1dj912+al7Ff4K/dGA/ojx+9qhBlLkDGsUB0am1oii8UJaAjFQR0AHfoHwrpJ8fjvckfWZ++xaHJti2arpk15ZKkm92DerH5VsaeC4DnSGu8zMI/u4vM8P8dH23tZCICYyKgA7jD06dvqmfQ291z8YwqrZ5Tm7HnKi4yPbJ+duz4+76ZewDp55xLmMVlgWjmNdZVqLHWm4joGwrp/E0WimJ0BHQAd/CXtzyyfm7G61NfvX6u77mv0M0FyKDWjn7d6hmUJNVWlGjRjKqAR1QY/KVE9EPHWAjoABIMhcL6ka+85dUZLG+J2rmkQdMj3VyudQ5o/6X2jD8nUKj8s+fr5rFAdKokBPQWOrlgdAR0AAmeO9sWa782r75CG5sy//Z3SXGRXrnWX+ZCNxcgUyhvCcZ6346iR1qZQcfoCOgAEvzgaLy85VXr50zZ7NqrN8TLXH5w9Jqco8wFyAQ6uARjg2+y41hrJ6V8GBUBHUCMc05PnLgeO37VusyXt0Tdv2yGqsqKJUkXb/Xq/M2eKXtuoFAkLxAloE+dOXUVmlFdJknqHhhWcxs/4zAyAjqAmNPXu9Xa0S9Jqi0v0bZF6d+caCTlJcW6f9nM2PGTJ29M2XMDheJa54BudnsLRKvLirVkRnXAIyocZsZCUaSMgA4g5smT8dnzl6yYqdLiqf0R8fLVs2L3n/CNBUB6HE5YIFqvoiIWiE6l9fPjdehHW1koipER0AHE+GetH1w1a5QzM+PBVY2x+y+cv6W+SC92AOlBeUuwNiR0cmEGHSMjoAOQ5NVE+nfxfNnKxlHOzoz50yq1cnaNJGlwOKznzt2c8jEA+Syhg4tv+3lMDf+LoiOtHSyGx4gI6AAkSc+euamhkPfLYs3cOs2prwhkHP5Z9CdOUIcOpFNCB5d5zKBPtfnTKjUtsudDV/+wLt7qDXhEyFYEdACSpCdPBVveEnvulfHnfvLUdWaYgDS53tmv610DkqSqsmItnVUT8IgKj5kllLkcuUwdOu6OgA5Azjk95a8/XxlcQN++uEHVkXaLl2716RztFoG08G+Os3ZunYpZIBqIdfPo5IKxEdAB6NzNHl1u75PktVfcOoXtFZOVlRRp1/J4u8VnzlCHDqSDf3t5FogGxz+DfpQdRTECAjoAPXu2LXb/3mUzpry9YjICOpB+/hl0Anpw/K0WD19moSjujoAOQM/6QvD9y2YEOJI7x/D8uVsKsSU2MGkJHVwI6IFZ2FCl2ooSSVJ771Ds3UvAj4AOFLhw2Om5c/EZdP/sdVCWN9ZoVm25JKmjb0jH2NADmJSb3QO6EtkluKK0SMtmsYNoUMwsoYPOEerQcRcEdKDAHb/aqfbeIUnSzJoyrWgMvrODmSXMoj97ljIXYDL8IXDN3DqVBFzGVug2NNHJBaPjOxQocM/56s/vWzZTZtnR2WHXsvhMvr9GHsD4Ud6SXdbNS6xDB5IR0IEC5w+/2VB/HnWfbyy7z9/S4HA4wNEAuY0NirJLYi90ForiTgR0oIANhcJ64Vx2BvQFDVVa0FApSeobCulgS3vAIwJyl7+Mgg4uwVs8o1o15d5C0baeQV3t7A94RMg2BHSggB1q6VDPYEiStwX1woaqgEeUyF/mQrtFYGJu9wzGOoWUlRRpxezg15kUuqIi01pfmQt16EhGQAcK2HO+xZf3LZuRNfXnUf4yl+eoQwcmxN//fM2c2sD3OYBnPTuKYhR8lwIF7IXzt2L371uaPeUtUff6xnTgUrsGhkMBjgbITf7wt47ylqyxoSk+g36UgI4kBHSgQA2Hwtp34Xbs+J4lDQGO5u5m11Vo0Qyv7GZgOKzDLfwSA8bL/32zkYCeNZhBx2gI6ECBOn6lK1Z/Pre+Qk3TKwMe0d3dszj+wmF3861RzgRwNwkdXAjoWWPprBpVlhZLkq53Deg6C0XhQ0AHCtQL5+M13TsWN2Rd/XnUDt/M/u7zBHRgPG73DKrldmSBaHGRVs6uDXhEiCpOXijayiw64gjoQIF60TcbnY3lLVE7fWPb23xboTD9goFU+UPf6rm1Kivh1342SeyHTicXxPGdChQg55xebM7u+vOohQ1VaqwtlyR1DQzr+BV+iQGpOswOolmNHUUxEgI6UIDO3ujWrZ5BSdK0qlItn5W9fZHNLOEFBGUuQOr8C0QJ6NlnQ1P834ROLvAjoAMFaPf5+Oz5jsUNKirKzvrzKH9Af5GFokDKWCCa3ZbPqlF5pOyotaNfbd0DAY8I2YKADhSghPrzxdlb3hKVPIPuHHXowFhYIJr9SoqLtGauf6EoJXzwENCBAuQvE9mRxfXnUSsba1VfWSpJausZ1LmbPQGPCMh+LBDNDevn+wI6ZS6I4LsVKDBXO/p1ud2bVassLU5YpJStiopM2xZNjx37N1gCcHcsEM0NiZ1cCOjwENCBArPvYjzcblpQr9Li3PgxsHXhtNh9/9cA4O5YIJob/GsD6OSCqNz4zQwgbfb6Zp+3Lpw+ypnZxT/WfRfaAxwJkBtYIJobVjTWqiwyUdJyu0/tvYMBjwjZgIAOFBj/7HMuBfRNC6Yp2mzm1PUudfYPBTsgIIuxQDR3lJUUafXc+L8PGxZBIqADBaV/KKSjvh/+WxflTkCvLi/R6jlevbxz0oGLzKIDI/EvEF3DAtGst26erw69lTIXpDGgm1mTmX3JzFrNbMDMms3ss2aWcgIws/9mZv8R+dxuM+s0s8Nm9mkza0rXWIFCdbS1Q4OhsCRpycxqNVSXBTyi8UlYKEodOjAiyltyywbq0JEkLQHdzJZJ2ivpnZJ2S/qMpHOSPiDpOTObkeKlflPSPElPSfq8pL+R1Cbpg5KOmtmWdIwXKFT+2u0tvkWXuWLroviY99LJBRgRC0Rzi7/VIjuKQpJK0nSdz0tqlPR+59yfRT9oZp+WF64/Kem3UrjOeudcf/IHzew9kr4Yuc5r0jJioAD5Z5235VB5S9S2hfGe7QcutSscdlm/CyoQBGbQc8uqObUqKTINh52a23rV2T+kuorSoIeFAE16Bt3Mlkp6WFKzpM8lPfwxST2S3mZm1WNd627hPOLrkdsVExwmUPCccznbwSVqQUOlZtZ4ZTld/cM6c6M74BEB2YcFormnvKQ44d/pKAtFC146Slweitw+7pwL+x9wznVJekZSlaR7J/Ecr4/cHprENYCCdrm9T9e7BiRJNeUlOflL28y0xffCgjIX4E4sEM1NbFgEv3R8166K3J4a4fHTkduVqV7QzN5tZh83s/9rZj+Q9HeSLkj6cIqfv/dufyStTnUMQL7Z5+t6smlBvYpztDSEHUWB0R1qobwlF/nr0OnkgnTUoEe/+0f63xT9+HhWpL1b0k7f8YuSfsU5d2acYwMQ4Q+z23KwvCUqYcMiOrkAd/DPvrJANHewoyj8puJ9r+g0nUv1E5xz9zrnTNJMefXtkrTXzB5J8fO33e2PpBPjGjmQR/xhdksOLhCN2thUr5LI7P/ZGz3sugckYYFoblozty72zub5mz3qHhgOeEQIUjoCevQnwUg/BeqSzkuZc67NOfdDeSG9T9JjZlY5/iECha1vMKRjrb4NihbkbkCvKC3Wunnxt4L3s2EREJOwQLSEBaK5pKK0WCsaayR5m7H5f2aj8KQjoJ+M3I5UYx7tvDJSjfqYnHPtkp6TNEvSuoleByhUh1raNRz23sRa3lij+qrcbt/FQlHg7hIWiM5hgWiuSdhRlDKXgpaO79wnIrcPm1nC9cysVtIuebPfz0/yeeZHbnnPBxgn/wLRrTm4QVEydhQF7o4Forltg3+hKAG9oE06oDvnzkp6XNJiSe9LevgTkqolPeac64l+0MxWm1lCRxUzWxTpqX4HM/tNSTskXZJ0eLJjBgrN/ou53f882VZfQD/U0qFwOOUlLkBeY4FobmOhKKLStZPoeyU9K+lRM3uFpOPyurC8XF5py0eSzj8eufX3edsi6Ztm9mzkc65JmiGvf/oGSd2S3uacC6VpzEDBONgSn0HfnAcz6PPqKzSzplw3uwfUPTCssze6tYJaW4AFojlu7bw6FZkUdtLZG93qGRhWdXm6ohpySVqK0yKz6NslfVleMP+QpGWSHpV0n3OuLYXL7JP0GUllkl4r6b9Kequ87i9/Immtc+6pdIwXKCRXO/p1rdPboKiqrFgrGnM/yJqZNi+Ih48Dl1goCrBANPdVlZXEfkaHHWUuhSxtL8ucc5ckvTPFc+/YIcU5d1FesAeQRv7Z8/Xzc3eDomSbmqbpR8evS/K+xjdtXxDwiIBgsUA0P2xaUK+T17okeSV8O5fOCHhECALfvUCeO+ibXd68IPfLW6L8pToHLzHLBLBAND9sbPL9bGvh3cFCRUAH8pz/B/zGpvz5pb1xfvyX2PErneofYnkKCtvhFhaI5oNNBHSIgA7ktXDYJcyq+X/w57r6qlItnVktSRoOOx27wqYeKGz+MLcpj94tKzSr5tSqrNiLZ5du9elWD7slFyICOpDHzrf1qKvf2zpgRnWZmqbn10a8/hBykIWiKGDXO/t1paNfklTp25ESuaespEhrfLslH2IWvSAR0IE85g+tmxZMk1l+LBCN2tREJxdAkg4m1J/XqaSYX++5zP+zzf8uKAoH38FAHvMH9HyqP4/a7Nt0iRl0FLKEF+N5VMpWqPwLRZlBL0wEdCCPHfDXn+dhTeqaubUqLfbeFWhu61V7L7WaKEzUn+cX/z4PB1s65By7JRcaAjqQpwaHwzreGl84mY+zauUlxVo7N16reZC3glGAnHPMoOeZpTNrVBPZQfRG14CudvYHPCJMNQI6kKdOXO3UYCgsSVrYUKWG6rKAR5QZLBRFoWtu61VnZDH49KpSLWjIr8XghaioyLR+vm/ygZ9tBYeADuSpfK8/j0roGcwvMRSgQwl7HeTfYvBCldgPnXcHCw0BHchTB3y7a+bTDqLJEmbQW9qp1UTBOXCJ+vN8xELRwkZAB/LUoQJZNLZ0ZrVqK7xazZvdg2q53RfwiICp5W/D519ciNy2ManVYjjM5EMhIaADeairf0hnbnRLkoqLTOt8m17km6IiY2tsFKyhUFhHLscD+kYWiOaNpumVsbVDXf3Dam7rCXhEmEoEdCAPHb7coWilx4rGGlWVlQQ7oAzb5G9JRh06CsjJq10aGPYWg8+fVqmZNeUBjwjpYmZ3zKKjcBDQgTx0sEDqz6MSF4rySwyF41DCXgeUt+Qb/882dksuLAR0IA8VSv15lP9FyOHLHRqOtJcE8h39z/Ob/0UXC0ULCwEdyEOF9ku7sa5C8+orJEl9QyGdvt4d8IiAqXEwqcUi8ov/3/Roa6eGmHwoGAR0IM9c7+xXa4e361xFaZFWzq4JeERTgw2LUGh6B4d16lqXJMlM2pDH+x0Uqpk15Zo/zdt4amA4HPv3Rv4joAN5xr+hxfp59SopLoxvc39Ap1YTheDI5U6FfYvBo1vDI7+wULQwFcZvbqCAFFr9eRS77qHQJO8givzEhkWFiYAO5JlC3VVwQ1O9ojucn7rWpd7B4WAHBGRYoX6vFxr/QtH9FwnohYKADuQR51xC/fXmAppVqykv0YpGr94+FHY62toZ8IiAzEposUj9ed7a2DQtYfKhZ4DJh0JAQAfySHNbrzr7vR/e06tKtaChMuARTa2NTSwURWG41TOoi7d6JUllxUVaPSd/dwsudDXlJVrZWCtJCjuvlSzyHwEdyCPJNakWnXYpEAmdXKhDRx7zt1dcO69OZSX8Os9nWxbGf7ZR5lIY+I4G8kih16RuZgYdBSJxrwPKW/JdYkC/HeBIMFUI6EAeSag/L8Btv1fNqY3NJF681atbPYMBjwjIjH2+WdQtC6cHOBJMhc0L4v/G+y+1yzkX4GgwFQjoQJ4YCoUTFkYWYtu1spIirZ0br8U9SEsy5KFw2OmAbxbVP7uK/LTc1+f+RtdAbDM65C8COpAnTl7t0sCwtw30/GmVmllTHvCIgrGZHUWR587d7IktBp9RXaaFDVUBjwiZVlxkSe0WKXPJdwR0IE/4Z4s3F2D9eZT/lxi77iEf7UuaPS+0xeCFyv9znYWi+Y+ADuSJhEVjBVh/HrUpaaEotZrIN/upPy9IW/x16Myg5z0COpAnDl7yb1pSuDPoi2dUq7bCq9Vs6xlUy+2+gEcEpNd+6s8L0mbfv/WR1k4NRkoakZ8I6EAe6BkY1unrXZIkM2n9/MKdQS8qssRZdBaKIo90Dwzr1DXve73ICnMxeKGaWVMeW28wOBzW8SvslpzPCOhAHjhyuUPhSCXHysZaVUdW+xcq6tCRrw5dao9/r8+ujXX2QGFIrEOnzCWfEdCBPOCfJS7k+vMo/wz6ATq5II/4F4huXUT9eaFJ2LCIn215jYAO5IGE+vMC7uAS5f87ONzSoeEQtZrIDwkLRPleLzj+RcFMPuQ3AjqQBxJm0KlJ1ey6Cs2pq5Ak9Q2FdOZGd8AjAibPOZcwa8oMeuFZM7dWZcVedLvQ1qu27oGAR4RMIaADOe5m90CsU0lZSZFWzakNeETZIaEO/RJ16Mh9F9p6datnUJJUX1mqJTOqAx4Rplp5SbHWzY/vlkw/9PxFQAdy3CHf7Pn6eXUqLebbWkosczlAJxfkgf2X4vXnmxdMU1ERGxQVooR+6JdYKJqv+E0O5LgD1J/fVfKGRUCu88+WbmWDooK1zVfatKeZgJ6vCOhAjjtE/fldbWiKl7icuNql/qFQgKMBJm8fGxRB0vbF8YB+sKVdQyyCz0sEdCCHOecSZoeZQY+rqyjVsllejW4o7HS0lU09kLv6BkM6fqUrdsz3euGaXVeh+dMqJUn9Q2F+tuUpAjqQwy7d6tPt3iFJUl1FiRbPqAp4RNnFH2Ioc0EuO3CpXaHIDkUrGmtUX1ka8IgQJP8s+t4LlLnkIwI6kMMOtCTOnpuxaMwvoQ6dhaLIYXsv3Ird3764IcCRIBtsX+QP6LdGORO5ioAO5LBDl6g/Hw0z6MgXL/oWA26n/3nB25q0UNQ5F+BokAkEdCCHHWyh/nw0a+bWqrTYe1ehua1X7b2DAY8IGL9Q2CUsEN3BDHrBWz2nTjXlJZKk613xvTCQPwjoQI4aDoV1+LKvxaKvawk85SXFWjs3vqnHoRY2LELuOXWtS139w5KkWbXlWtBQGfCIELTiIkvo5EMdev4hoAM56tS1bvUPee215tZXqDGytT0SbaQfOnLcngv+2fPprDWBpMRe+HuoQ887BHQgR9H/PDUJdegsFEUO2tMcD1/bFlHeAk9iJxd+tuUbAjqQo6g/T83mBfHSnwOXOlhMhZzj3y1yx2IWiMKzZeF0FUXeTDl5tVNd/UPBDghpRUAHctSBS7768wXUn49k6cya2GKqm90DutLRH/CIgNRd6ejT5XZvAWBlabHW+NZUoLDVlJdo9Rzv/0PYSfsvMoueTwjoQA7qGwzp1DVvV0EzacN8AvpIioos4e+HOnTkEv/s+eYF01RazK9txG3zt1tkoWheSdt3upk1mdmXzKzVzAbMrNnMPmtmKb0fZ2bVZvarZvZVMzthZj1m1mVme8zsQ2ZWlq6xArnuaGtHbFfBZbNqVFvBroKj8ZcAHaAOHTnEX39OeQuS+evQ9xHQ80pJOi5iZsskPSupUdK3JZ2QdI+kD0h6xMx2OefaxrjMSyV9RdItSU9I+pakBkmvl/R/Jb3RzF7hnOP9aRS8A2xQNC7+OvRDl2i1iNzhnxXdRv9zJPHPoO+/eFvDobBKeJclL6TrX/Hz8sL5+51zb3DOfdg595Ckz0haJemTKVzjqqRfkzTXOfdLkWv8hqSVkvZJul/S+9I0XiCnHfT1895M/fmY/DPohy/H330Asln3wLCOX+mUJBWZtHUhL8aRaP60Ss2JtNjtGQzp+JWugEeEdJl0QDezpZIeltQs6XNJD39MUo+kt5lZ9WjXcc4dcM79g3NuMOnjXZL+JHL44GTHC+QDfx31RmbQxzSnrkKzassleaHn3I3ugEcEjG3/xduKvpZcNaeOUjbcwcx0z5L4OysvnB+rWAG5Ih0z6A9Fbh93zoX9D0TC9TOSqiTdO4nniPYOGp7ENYC8cLtnUBdv9UqSyoqLtHpubcAjyn5mllAKdICFosgBL9JeESnwB/Td59mwKF+kI6CvityeGuHx05HblZN4jndFbr+fyslmtvdufyStnsQYgKzg73++Zl6dykuKAxxN7kioQ2+hDh3ZL3GDIgI67m6nP6A331KYEr68kI6AHv2tN9JvvOjHJ/Q+vJn9f5IekXRA0pcmcg0gnxz0LXLc3ET9earYURS5ZHA4rH0X4zPo/llSwG95Y40aqr1Gd+29Qzp9nRK+fDAVS30j+1xp3C/pzOyNkj4rbwHpLzrnUtomyzm37W5/5HWXAXKaP1xSf566jfPjf1fHr3SqfygU4GiA0R1qaVf/kFc1urChSnPrKwMeEbKVmemexf4yF+rQ80E6Anp0Om+kqby6pPNSYmZvkPSPkq5LetA5d25iwwPyh3NOh3wB3T8rjNHVV5VqyUxvrfpQyMW6YwDZ6Plz8ZB171JmzzG6nb7/I89Th54X0hHQT0ZuR6oxXxG5HalG/Q5m9iZJ/yzpmqSXOedOjvEpQEFoud2nm91eo6Pa8hItnTlqcyQk2dREHTpywwu+kLVzyYwAR4JckLxQ1Dnq0HNdOgL6E5Hbh80s4XpmVitpl6Q+Sc+ncjEz+xVJX5PUKi+cnx7jU4CC4a9J3bxwmoqKbJSzkSyhDp1OLshSQ6Gw9vg6uOxkBh1jWD2nTnUV3t6TN7oG1NzWG/CIMFmTDujOubOSHpe0WHduJPQJSdWSHnPO9UQ/aGarzeyOjipm9uuS/l7SRUkPUNYCJNp/MR4qt1DeMm7+gH6AhaLIUodaOtQXWSPRNL1ShBmlYQAAIABJREFUTdOrAh4Rsl1xkWmHrw79hXPUoee6kjRd572SnpX0qJm9QtJxSTslvVxeactHks4/HrmNTf+Z2cvldWkpkjcr/06zO2YH251zn03TmIGcs98367tlIW3Xxmvt3DqVFJmGw07nbvSoo29I9ZVs/oLs4t9shvIWpGrn0gb9+MR1SV6Zy1vuWRjwiDAZaQnozrmzZrZd0u/La4n4GklXJD0q6RPOuVRWLCxSfEb/XSOcc0FeVxeg4PQPhXSs1ddikRn0casoLdbqubU6ctlbIHq4pUMvWTEz4FEBiV4456s/p7wFKbrH92LuBRaK5ry0tVl0zl1yzr3TOTfXOVfmnFvknPvA3cK5c86cc5b0sS9HPz7Kn8XpGi+Qa462dmgo5C38WTqzWtMjfW8xPok7it4e5Uxg6g2HwgkbFN23lBl0pGbdvDpVlXkb111u71PLberQc9lU9EEHkAYJ9eeUt0yY/52HfRepQ0d2OdLaqZ5Br/58Xn2FmqbT/xypKS0uSthxdjez6DmNgA7kCH8Hly0LKW+ZKP8vsP0Xb9OODFnFv7hv59IZustaLGBEO5f4F4oS0HMZAR3IEYkz6AT0iVoys1rTq7yFobd7h3T+Zs8YnwFMHX/tMBsUYbx2+kqinqOTS04joAM54EpHn6509EuSqsqKtWp2bcAjyl1mllAitPcCdejIDqGw04tsUIRJ2NQ0TZWlXh36xVu9unSLOvRcRUAHcoB/9nxjU71KivnWnQx/mQt16MgWx1o71TUwLEmaXVeuRTPof47xKSspSthV9NmzNwMcDSaD3/JADtifUH/OAtHJ8pcI+f9ugSA9dy4epnYuof4cE3P/svg7L8+cocwlVxHQgRzgn+XdSkCftE1N01QUyT4nr3Wpq38o2AEBkp72haldyylvwcTsWh7f2+HZs20shM9RBHQgyw0Oh3X4MhsUpVN1eYlWz6mTJDknHbhEmQuCNTAc0u7z/oDOBlqYmLVz6zQtshD+ZveATl/vDnhEmAgCOpDljl/p1OBwWJK0oKFSs2rLAx5RfkioQ79AQEew9l1oV/+Q932+eEaVmqZTf46JKSqyhA2unjlDHXouIqADWc7f/5zylvTZusi/YRF16AiWP0Qxe47Jut/3f4g69NxEQAeyXEL/c8pb0sb/YmffxdsKh6nTRHCe9gX0lxDQMUm7fAtFXzjXpuFQOMDRYCII6ECW8/fp3rqIGfR0WdhQpZk1ZZKkrv5hnb1BnSaC0dE3pEMt3gtxM+m+ZSwQxeQsmVmtOXUVkqSugeGEdUzIDQR0IItdbu/T5fY+Sd4GRWvn1gU8ovyRvGERZS4IyvPn2hR9A2fD/HpNqyoLdkDIeWam+32dgJ49S5lLriGgA1lsT3N8V8EtC6exQVGabWVHUWQB6s+RCbuW+dstslA01/DbHshi/tC4fVHDKGdiIrYu9C8UpZMLgkH9OTLB/2JvT/Nt9Q+FAhwNxouADmSxF5t9AX0x9efptrFpmkoiOxadud6t9t7BgEeEQtPa3qdzN3okSeUlRQntP4HJmFNfoaWzqiVJA8Nh7eNdwpxCQAeyVGf/kE5c7ZQkFZkS6qWRHpVlxVo3L17XT5kLppq/vGXH4gZVlBYHOBrkG3+Zy09PU+aSSwjoQJbad+G2ojs0r51Xp5rykmAHlKd2LI6XDu321fwDU8Ef0F+ygvIWpNcDK2fF7j958nqAI8F4EdCBLLWnmfrzqbBjSfzv9sXzBHRMHeecnvZtIkP9OdLt/mUzVFrslfGduNqla539AY8IqSKgA1lqz4V4WPTP8iK9/H+3h1o61DfIQipMjWNXOnWze0CSNK2qlDaqSLvq8pKEn3FPnboR4GgwHgR0IAsNDod14FK8qwgLRDOnobpMyxtrJEnDYaf9l6hDx9R48mQ8LD2wYpaKIguWgXR6ma/M5amTBPRcQUAHstDR1g71D3lbMy9oqNTsyI5wyIx7EspcCOiYGv6a4JevnjXKmcDEPbiqMXb/Z6dvaDgUDnA0SBUBHchC/vrzHdSfZ9w9vreAX2ShKKZAR+9QrGuQmTeDDmTCytk1mhOZ5OnsH9bBFvZ8yAUEdCAL+UPidurPM86/UHTfxdvMMCHjfnbmhsKRLk0bm6ZpRk15sANC3jKzhDKXJylzyQkEdCDLOOcS+nHvoP484+ZPq9T8aZWSpN7BkI62dgY8IuS7J07EQ9LLVzF7jsx60Pd/jIWiuYGADmSZ8zd71Nbj7WhZX1mqZbNqAh5RYfC/EKLM5f+1d+fxbVVn/sc/x7Id705iZ98TJ2QP2RPCHgiFNqVAKW1p6VBKhx/tQLdX6Uw7bekM006nC2WmtHRlbWmBAqVsYQkkQEJIAtmcxVmc1Ym3eN9k+/z+uLIkO3HixLLulfR9v15+SfdKV36iyNKjc5/zHOlL7e2WN3eF6s/Da4RF+sJ5Bfn4ApOQNx+qDnYPEu9Sgi7iMZ3KW8YMUGeHKAkvc3lX/dClD207UkN5nfMlPC8zlZkjcl2OSOJdbnoKc0b3D26vLtIoutcpQRfxmDV7QguXhHcXkb61MOy5Xl9cSXtHgbBIhK0M695y0SS1V5ToCD9To3aL3qcEXcRDrLWs2RtK0BdPyHMxmsQyYVAWAzNTATje4GdPWZ3LEUm86pSgq/5coiR8ouiqonLaNAjhaUrQRTykuKKBYzVObWB2WjLThuvUd7QYY5g3JlSHvk516NIHKutbgouQJam9okTR1GE55Ae6BTmvQ6354GVK0EU8JLy8ZeG4gcFJPRIdnRcsUoIukbe6qAwbGLicPXoAAwJnbUT6WlKSYenkUJnLisJjLkYjp6MEXcRDwstbFo1XeUu0hSfoa/ZWYK1OAUtkrdwRtnqoylskyi6fOiR4/VUl6J6mBF3EI6y1nUbQlaBH37ThuWSnJQNwrKaZveX1Lkck8cTf1s7rO9ReUdxz/sR80lKc1G9PWT17NdfGs5Sgi3jEnrL6YG/a3PQUpg7LcTmixONLMp2+GL2zu9zFaCTevLu3kpqmVsBZHGvacP2NS3Slpfi4IGzewysaRfcsJegiHhFe3rJw3EC1XnPJeWGdc94JO6Mh0lsvbzsavH751CEYo79xib7wMhcl6N6lBF3EI9aqvMUTlhTkB6+v2VuhfugSEe3tlhWFoQT9imlDXYxGEtnSyYPpGP/ZcOC4VhX1KCXoIh5grWWt+p97wsTBWcFWZFUNfgpLalyOSOLB5sPVwRaqAzJSmD92wGmOEOkbeVn9mBtoKWstvL699DRHiBuUoIt4QFFpHRX1ztLfAzJSOGdItssRJS5jTJcyF9WhS++Fl7csnTKEZJ8+fsU94WUuarfoTXqHEPGArt1bVH/uriUFoQT97d2qQ5feW7FN5S3iHZdPDb0G39pdRmNLm4vRyMkoQRfxgPAEXeUt7jtvQqgO/b3iSlpa212MRmLd7tI69pQ5LTvTU3xcMDH/NEeI9K1x+ZkUDM4CoMnfzlvqWOU5StBFXNbebnl3nyaIesmogRmMGpgOQENLG5sOVbkckcSy8PKWiyYNIi3F52I0Io5OZS5hr1HxBiXoIi4rLKnheIMfgPysVCYGRjXEXUvCRtHfUZmL9EJ4je+yaUNOcU+R6Olah64zhd6iBF3EZauKyoLXL5g4SL2RPSK81OhtTRSVs3S0uolNB50zMMlJhqWTlaCLN8we1Z8R/Z0zhdWNfr3PeYwSdBGXrd4VelNUbap3hNehv3/gOA0trS5GI7Hqpa0lweuLxueRm5HiYjQiIcYYrpoRmiz6j00lp7i3RJsSdBEXNbS0sn5/ZXD7/AIl6F4xKLsfk4Y45Ub+Nst7xcddjkhi0T82h5KeK6are4t4y0dmDg9eX1F4lOZWdXPxCiXoIi5au7cCf5uzUuXkodkMzklzOSIJFz6K/lZYKZJITxypamT9fueLnS/JcKUSdPGYmSNzgxPia5taO53RFXcpQRdx0aqwN8MLJw1yMRI5mYvC/k/e2KkEXc7MC1tCo+fnTcgLrlAr4hXGGD48IzSK/o/NR1yMRsIpQRdx0epOE0RV3uI1i8bnkZrsvE0WldZxuKrR5YgkljwXVt7ykZnDXIxEpHvhr81XCo/R5FeZixcoQRdxyeGqxuDiJf2Sk5g/dqDLEUlX6ak+Fo4L/b+8qVF06aGDlQ2durdo9VDxqmnDcxiXnwlAfUubzhZ6hBJ0EZes3hV6E1wwbqAWL/Goi88ZHLz+5q5SFyORWBI+OfSCifn0z0h1MRqR7jllLqFRdJW5eIMSdBGXrNwZSvYunKj6c68Kr0N/e3cF/jYt5iGn99ymUJKzfNbwU9xTxH0fmRVK0F/bXkpji8pc3BaxBN0YM9IY8wdjzBFjTLMxptgYc68xZsAZPMblxpifGmNeM8ZUGmOsMeatSMUo4hXNrW28VRSaIHrJ5MGnuLe4acKgzOBiHnXNrWzYr3aLcmo7jtZQWFIDOOVr4Ss2injROUOyKQisYt3ob+PV7cdOc4T0tYgk6MaYCcAG4GZgHfBzYC9wJ7DGGJN3isPDfQn4GnAecDgSsYl40bp9ldQHRihGD8xgwqBMlyOS7hhjuPic0Cj6m7tUnymn9vTG0MfX5VOHkJ2mxYnE24wxLA/rif70+0rB3BapEfT7gcHAHdbaj1lrv2WtvRQnUT8HuKeHj/PfwHQgC1geodhEPOf1HaHylksnD8YY42I0cjrhZS4rd6gOXbrX1m555oNQcnPdnJEuRiPSc9fMHhG8/uauMspqm12MRnqdoBtjxgPLgGLgl11u/h5QD3zWGHPaIUJr7Rpr7TZrrYqfJK6t7JKgi7ctKcgn1ee8Xe44Wsuh4w0uRyRe9c6eco7VOIlNflaq2qdKzBidl8GCQDextnbLsx9oFN1NkRhBvzRwucJa22n2lLW2FngbyAAWReB3icS8vWV1FFc4CV5Gqo+F49Ve0esy+yWzeEKoUu+17RpFl5MLL29ZPms4yT71YpDYce2c0Cj6UxuVoLspEu8c5wQud3Vze1HgclIEflePGGM2nOwHmBytGES6E17ecn5BPv2S1V4xFlwWNtFPE6jkZOqbW3lx69HgtspbJNZcNXMY/QKLs20vqaHwSI3LESWuSCTouYHL6m5u79jfPwK/SyTmda0/l9hw2ZTQ/9XavRXUNPldjEa86IUtJTQGVmGcODiLacNzXI5I5MzkpKWwLGxRrb9tPORiNIktGufeOma/2Sj8LucXWTv3ZD/AjmjFIHIyVQ0trNtXGdxWe8XYMSw3nekjnITL32ZZpW4u0sXj7x0MXv/43JGa/C0x6bqwMpen3z9MS6vWfnBDJBL0jhHy3G5uz+lyP5GE9dr2Ulrbne+qs0b1Z0hOmssRyZm4bEpYmUuhylwkpOhYbbBHfnKS4bq5Km+R2HR+QT5DA59NFfUtKulzSSQS9J2By+5qzCcGLrurURdJGC9vC9WnfijsNKLEhvAE/fUdpVpVVIL+EjZ6fvnUIeRn9XMxGpGzl+xL4hPzQl8w/7zugIvRJK5IJOgrA5fLjDGdHs8Ykw0sARqBtRH4XSIxq6GltdMiN1dM0+qCsWba8ByG5TojSzVNrbwXVq4kiau5tY2/hS3s8skFo12MRqT3PjF/FB0VWquLyjlYqday0dbrBN1auwdYAYzFWQk03N1AJvCwtba+Y6cxZrIxRh1VJKG8ubOM5kAt36QhWYwflOVyRHKmjDGdlm1/YWuJi9GIV7xSeIzK+hYARvRP5/wC9T6X2DZyQAYXTgwt0BZ+hkiiI1KTRG8HSoH7jDHPGGN+aIx5HfgqTmnLt7vcf3vgpxNjzPnGmAeNMQ8CPwnsntixL7BfJCapvCU+XDl9WPD6S1uP0dYetfnv4lHhJQDXzxuJL0mTQyX2fWrBqOD1v64/SKtK+qIqIgl6YBR9HvAgsBD4OjABuA9YbK2t6OFDFQCfC/xcF9g3OGzf5yIRr0i0tbS281pYe8VlStBj1oJxA4P1xeV1zbxXrDKXRLa7tJa3dzsfcUkGPjFv1GmOEIkNS6eE5lKU1jbziibGR1XE2ixaaw9aa2+21g6z1qZaa8dYa++01p7w6WWtNdbaE4YYrLUPdtzW3U+k4hWJpnf2lFPb1ArAyAHp6o8cw3xJhg9NDytz2aIyl0T20Dv7g9eXTR3K8P7pLkYjEjkpviRumB+aLPrgO8XuBZOAtAaxSBT8fdOR4PUPTRuq/sgx7qoZoTKXF7ceVZlLgqpp8vNU2EIuN503xsVoRCLvM4vGBEu23t1XyfYSrSwaLUrQRfpYk7+NFdtCpwaXzxruYjQSCQvGDiQvMxWAstpm1qvMJSH9bcMhGlpCK4cuHp/nckQikTUsN73TnKmH1xS7FkuiUYIu0sdW7iilrtkpbxmTl8HMkd2t6SWxItmXxBXTQx9aKnNJPO3tlofXhMpbbjpvrM6MSVz6pyVjg9effv8wVQ0t7gWTQJSgi/Sx5zaHyluunjVcH+Jx4sNhZS7PbylRh4ME8+auMvaWO92Ds/slc+3sEac5QiQ2zRszgKnDnHlTTf52HlfLxahQgi7Sh2qb/Ly2PdS95aPnqrwlXiwan8fg7I5uLi2sLip3OSKJpgdW7Qle/8T8UWT2S3YxGpG+Y4zpNIr+4NvFtLRqQKKvKUEX6UOvFB4LLk40ZVgOBYOzXY5IIsWXZLg67AtX+EqSEt82H6pi7V5n3oEvyfD588e5HJFI3/rorOHBlotHa5o6NT6QvqEEXaQPPftB6E3so5ocGneumR1qQbZi21Fqm/wuRiPR8sCqvcHry2cOY4RaK0qcS0vxcXPYKPpvVu2hXd2r+pQSdJE+UlLdyOqisuD28lnDTnFviUVTh+cweahzVqS5tZ0Xtx49zRES6w5WNvBi2KTgWy8c72I0ItHzmYVjyEz1AbDrWB0rd5ae5gjpjYQrmvP7/axfv75H983Pz2fs2LGd9hUXF1Ne3rNa0+HDhzN8eGjU9Pvf/z6PPvooubk96+Jx4MCBE37X5MmTycjI6NHxe/bsobq6utO+GTNmkJKS0qPjt2/fTmNjY6d9c+bM6dGxAJs3b6a1tTW4nZyczMyZM3t8/MaNGzttp6enM2XKlB4d6/f72bJlS6d9ubm5TJgwoUfHNzQ0sGPHjk778vPzGT16dI+Or66upmzQHAZc5Cx+21j8AQum3cqwYT1L0svLyzlw4ECnfaNHjyY/P79Hx5eUlFBS0rmzyIQJE/Ta66Ezee2lj5vNpHOWAHD/bx/kPz//hGuvveXLl3PjjTcyceLETvuPHDnCkSM9OyUd6fc9gKKiohNeD90ZM2YMgwYN6rSvsLCQhoaGHh1fUFBA//79O+3btGkTfn/Pzm5MmTKFzMzMTvvCPzP+/sERCpKclUMLBmXReKSI9WFP7cyZM0lNTQ1ut7S0sHnz5h79boB58+Z12q6vr2f79u09OjYlJYVZs2Z12ldVVcXu3bt7dHxGRgZTp07ttK+srIz9+/d3c0Rnubm5eu314WvvdKLx2vvkOD+rdzv/H3958U1y650vqHrtnfy119PXzsloBF2kj2TNuDx4vW7zKy5GIn2p+UgR1jqnelPyRpCUrlVi41V1o5/3io8Hty+cNOgU9xaJP+cV5OMLdCIrrqhnX6CTkUSeEnSRPpCSP4aUgc636famOhqL1rgckfSV9uY6/BVO2zFjDGmjp7sckfSV1UXltFln0veogRkUDM5yOSKR6MpNT+Hc0aGzBOFdyiSyTMfITyIwxmyYM2fOnA0bNrgdisS5bzyxiSc3OEuA37hwNPdcM8PliKQvvbClhNsfc8pihuak8dZdl5Ds0/hHPDlW08QFP14ZbC/34M3zuficwS5HJRJ9ByoauOSnb9AWmCT6+BcXsUir6J7U3Llz2bhx40Zr7dwzPVafICIRVtfcyvObQ/Xfn5g3ysVoJBoumzKE/Cyn9vNoTRNv7Cw7zRESa3795p5gcj5rVH8uUnmLJKjReRlcNye0MNe9r+5yMZr4pQRdJMKefv8wjf42ACYNyWLmyJ5NzJTYlZqcxMfnhr6I/XndgVPcW2LNkapG/vRu6P/0zqUFWhFYEtqXL5lIcpLzN7B2byVr9lS4HFH8UYIuEkHWWh5+pzi4fePCMfogTxCfWhBK0FfuLOVIVeMp7i2x5N5XdwUXHJs1MpdLVNoiCc4ZRQ+tA/Hjl3eQSCXT0aAEXSSC1uypoKi0DoCsfslcN3fkaY6QeDEmL5PzC5w2mO0WHtcoelzYdaw2OJ8E4K4rJ+tLtwjw5UsLSA3MtXn/QBUvaR2IiFKCLhJBD60pDl6/bs4Isvol3FIDCe3TC0O9yh979wBNgVIniV0/fmknHQsmXjRpEOdN6NlaBCLxbtTADG5aPCa4/d8v7cDf1u5iRPFFCbpIhByuauSVwmPB7c8uHuteMOKKZVOHBJd9r6hv4dkPDrsckfTGun2VvLrd+Zs2Bu760GSXIxLxli9fWkBOmjMQVVzRoPk3EaQEXSRCHlmzPzjSdn5BvnokJ6BkXxKfOy80ovS71ftUlxmj2tot3//7tuD2x84dwdThWoRKJFz/jFS+dElBcPveV4uobujZyqlyakrQRSKgpsnPY2tDSxKHn/aTxHLD/NFkpvoAKCqtY1VRz5aKFm/587oDFJbUAJCWksTXl01yOSIRb/rceWODZw4r61v42Ss7XY4oPihBF4mAx9YeoLa5FYDxgzK5bMoQlyMSt+Smp3B9WO/7363e62I0cjaO17fwkxWhJOP2iwsYOSDDxYhEvCstxce3PzwluP3I2v1sO1LtYkTxQQm6SC81+dv4/Vv7gtu3XTiBpCR1eUhkn18yjo5GH6uLytl6WB9WseSnr+ykKnCafuSAdL544XiXIxLxtiunD+3Uxep7z25TeV8vKUEX6aUnNxyivK4ZcJZ5/9jsEac5QuLd6LwMrpo+LLj9i9eKXIxGzsSG/ZU8FrYo0b9/ZCppKT4XIxLxPmMM3//oNFJ8zsjE+v3HeWL9odMcJaeiBF2kF/xt7fxmVaiE4QsXjCM1WX9WAv+yNDRx6pXCYzrlGwOa/G1888nNdAz8XXzOIJZNVbmaSE8UDM7ilvNDZ5v+8/lCjtU0uRhRbFMmIdILT244xIHKBgD6Z6TwqQWjT3OEJIrJQ3O4cvrQ4PZ9GkX3vF+u3M2esnoAMlN93HPNDC1KJHIG7lw6kTF5znyNmqZWvv30VpW6nCUl6CJnqcnfxi9eDSVdt14wnkwtTCRh7lg6MXj95W3HKDxS42I0cirbjlTzqzf2BLfvunJysDOFiPRMeqqPH107M7j96vZj/H3TERcjil1K0EXO0sNrijkaOH2Xn9WPm5eMdTUe8Z4pw3K4YlqoROLHL+9wMRrpTmNLG3c+/gGtgYUM5o0ZwGcWqlWqyNlYPCGPG8NWVf7e37dRUt3oYkSxSQm6yFmoafJzf9ho2x1LC8hI1ei5nOirl0+io6nPGzvLWF1U5m5AcoIfvrid3aV1AKSn+Pjxx2eqE5NIL3wr7AxUVYOfr/7lA9raVepyJpSgi5yFX72xJ9iGbdTAdD45X7XncnKTh+Zw/dxQX/R7nt+uDyoPeX3HMR5eE1pk7HvLpzJ+kFYBFumN7LQUfn7DucHBibV7K/n1m3tOfZB0ogRd5AztLavrtPjM1y6fpM4tckpfXzaJjMDqojuO1vLkhoMuRyQABysb+NpfNwW3r5g2hBvmjzrFESLSUwvGDeTLl4bm4fzslV2s21fpYkSxRVmFyBmw1vL95wrxtzkjoHNG9+fqWep7Lqc2OCeNf75wQnD7f17eSXXgDIy4o8nfxm2PbgieCRuak8aPrp2pri0iEXTHpQXMHTMAgLZ2y+2PbeRotVov9oQSdJEzsKLwGKt2OTXExsAPrp6uWlXpkVsvHMfQnDQAyuta+NFL212OKHFZa/nOM1vZFuiqk+Iz3P+ZOQzITHU5MpH4kuxL4r5PzWZg4G+rvK6Z2x7dQHNrm8uReZ8SdJEeqm3y84PnCoPbNy4czfQRuS5GJLEkIzWZu6+eFtz+87qDvLu3wsWIEtdvVu3lyQ2hVQ6/u3wac0YPcDEikfg1on86//fp2fgCg1kfHKxSf/QeUIIu0kP3PL+dw1VOq6gBGSl8Y9k5LkckseaKaUM7tV3816e30OTXSFI0Pb+5hB++GGp3ed2ckXxmoSZ5i/Sl8ybk869XTg5uP7nhEL/Q4m2npARdpAdW7izl8fdCE/vuvno6/TN0OlzO3N0fnU5WYEGrvWX1/M/LO12OKHGsL67kq3/9ILi9YOxA/uva6ao7F4mCW84fx8fnjgxu3/tqEX9drwnz3VGCLnIaVQ0tfOupzcHtq2YMZfnMYS5GJLFsaG4a3wobSfr9W/t4Y2epixElhs2Hqrj5j+/R0toOwPj8TH5z01z6JftcjkwkMRhj+OG1M7hgYn5w37/+bQsvbS1xMSrvUoIucgrt7Zav/3UTx2qaAcjPSuU/rtaIm/TOjQtHc+nkwcHtbzyxibLaZhcjim/bS2r47O/XUdvcCjh/x3+8eb7OgolEWYoviftvnMOUYTmA09nly396n1cKj7kcmfcoQRc5hfvf2M1rO0Kjm/91zQzysvq5GJHEA2MM//PxmQzKdl5L5XUtfOUv7+Nva3c5sviz9XA1N/7uXaobnXaK/TNSeOSWhYzJy3Q5MpHElJ2WwkOfn8/4fOdvsLXdcvtjG5Skd6EEXaQbq4vK+Okru4LbX7xwPMumDXUxIokneVn9+NknZgW3395dwX/+o/AUR8iZendvBZ/6zVoq61sAyO6XzCOfXxgcvRMRdwzOTuNPty5iTF4GAP42y22PbujUXSnRKUEXOYmdR2u5/bGNdHSBWjBuIN+8Ql1bJLIumDiIr1wWWmnvoTX7eXTt/lMcIT310tYSbvpDqKwlNz2Fh25ZwIyRao31y8AGAAAUu0lEQVQq4gVDc50kffRAJ0lva7d844lNPPDmHrVgRAm6yAmOVDXyuT+so7bJ+WAfnN2P//v0bJJ9+nORyLvj0ol8eEZo0vH3/r5Np3p7wVrL/71exG2PbqQ5MCF0UHY//vLPi9TrXMRjRvRP58nbFjN5aHZw3w9f3ME3n9yc8IsZKeMQCVNR18w//XEdR2ucpYiz+iXzx5vnMzg7zeXIJF4lJRl+cv0spo8ITZr60mMbgyvWSs/VNbdyx+Mf8JMVodK0MXkZgQRAZS0iXjQ4J42//PNiFowdGNz3xIZDfOo3azla3eRiZO5Sgi4SUFrbxCd/s5Zdx+oAZ/nvBz47l2nDdUpc+lZ6qo/ff25+sB6zpa2dLz6ynnf2lLscWezYeriaj9y3muc2HQnuWzR+IM/cvkQTQkU8Ljc9hYdvWcB1c0J90jceqOLKX6zite2JeUZRCboITlnLJx9YS1Gpk5wnGfjJ9bNYUpB/miNFImNIThqPfWEhw3OdszVN/nb+6Q/v8fxm9Qg+lda2du5/YzfX3v8OxRUNwf2fXjiaR25ZyIBMtVIUiQVpKT5+cv1MvvPhKSQFOhkfb/Bzy0Pr+e6zW6kPzCdJFErQJeF9cLCKj/3ybfaW1wPgSzLc+8nZXH3uCJcjk0QzckAGj926iCE5TvvFlrZ2vvznjfzhrX2aNHUShUdquPZX7/Djl3bSEmhRmZnq4xefPJf/umYGKZo3IhJTjDF84YLx/OnWRQzNCZWWPrxmP8t+viqhSv/07iUJ7en3D/GJB9ZQGlgkJsVn+OWn5/DRWcNdjkwS1bj8TJ76f+cxfpBTlmEt/OAfhXz1Lx8k3AhSd47Xt/Dvz2zlI/+7ms2HqoP7Z47M5bl/OV9frkVi3KLxebxw5wVcNmVIcN/hqkZu+sM6vvDQevaU1bkYXXSYRBqVMcZsmDNnzpwNGza4HYq4rLbJz/ee3cbf3j8c3Nc/I4X7b5zDeRNU1iLuO17fwi0PvcfGA1XBfQWDs7j3hnOZPiIx50XUNvn549vF/G71XmqaQl9WUn1JfOXyiXzxgvHqtiQSR6y1PPPBYe5+rpCqBn9wf3KS4TOLxnDH0okM9HAZ29y5c9m4ceNGa+3cMz1WCboknFW7yvj2M1s4WNkY3FcwOIvf3TSPsfmaTCbe0eRv4+7ntvHndQeD+3xJhi9eOJ47l04kLcXnYnTRU9Pk5+F3ivnt6n3BFUE7XDAxn+8tn0bB4CyXohORvlZW28wPX9jeaVANID3Fxw3zR/GFC8YxckCGS9F1Twl6DylBT2wHKxu45/ntvLTtaKf918wewQ+unkZ2WopLkYmc2pMbDvGdZ7bQ5G8P7hs5IJ1vLDuHj84aTlLHjKo4U3ikhkfW7ueZ9w/T6O/cE3lsXgb/etUUlk0dgjHx+e8Xkc62HKrmP58v5N19lZ32+5IMy2cO4zOLxjB3zADPvCcoQe8hJeiJ6UhVI79cuZu/rj+Ivy30es9OS+aea2ao3lxiQnF5PXc9tfmED6apw3K47eIJXDV9aFyUd5TWNvHS1qM88/7hTuU9HcbkZXDHpRO5+tzhcfHvFZEzY63llcJj/PzVIraX1Jxw+/j8TK6fN4pr54xgSI67a5goQe8hJeiJw1rLhv3HeWjNfl7cUkJre+fX+XVzRvKtKyczKLufSxGKnLn2dsvj7x3kJyt2Ulnf0um2Ef3T+fTC0VwzewTD+6e7FOGZs9ayr7ye1UXlvLT1KO/uq6D9JB9Lk4dmc8v547hm9ggl5iKCtZZVReX8+o09rNlbcdL7zB7dn2VTh7Js2hAmDIp+GZwnEnRjzEjgB8CHgDygBHgGuNtae/wMHmcg8F3gY8AwoAJ4CfiutfZQL2NUgh7HrLXsLq3j+S0l/H3TEfaW1Z9wn3ljBnDXlZOZH7ZimUisqW3y88Cbe/ndW3s7lb0AGAMLxw1k6eQhXDJ5MBMGZXrmdC84f6fFFQ28f+A47xVXsrqonEPHG0963xSf4crpw/js4jHM89BpaxHxls2HqvjzugM8t6mEum66XU0YlMmPPz6TuWOi9/nveoJujJkAvAMMBp4FdgALgEuAncASa+3Jv950fpy8wONMAl4H3gMmA1cDpcBia+3eXsSpBD3OlNY2sb74OKt2lbFqVxlHulkWeMG4gdxx6USWFOTpQ17iRkVdM4+s3c/Da/afMKLeYdTAdOaPHciskf2ZNao/U4Zl0y85OpNLqxv97C6tZXdpHUXH6thVWsfmQ1WdujF0ZQwsGDuQj8wazpXTh5KfpbNcItIzDS2tvLjlKE9tPMS7+ypp63I67u1vXcqIKJ5h9EKC/jKwDLjDWvu/Yft/BnwVeMBae1sPHucB4IvAz621XwvbfwfwC+Bla+2HehGnEvQYVdvkp7i8geKKevaV17PlcDVbDlVztObkCTk4C5YsnzWcmxaPZerwnChGKxJdTf42Xt52lCc3HOKt3eWc6m09ycCIAemMzctkTF4Gw/unk5/Zj7ysVAZkppKR6iMt2Udaio9+yUmkJifRZi1tbRZ/eztt7ZZmfzu1Ta3UNPmpafRT0+SnvK6FkupGjlY3URL46e5LQ1eZqT4WT8jnwkn5XDFtqOt1oyIS+47Xt/D6jlJWFB7lzV1lFAzO4h//ckFUY3A1QTfGjAf2AMXABGtte9ht2TilLgYYbK09seYgdN9MoAxoB4ZZa2vDbksK/I6xgd9xVqPoStDdZ62lubWd+uZW6pvbqG32U9/cRn1zK3XNrVQ1tFBW20xZXcdlM4cqG6jo4Qd9Vr9klhTksXzWcJZOHkJ6amK0oRPpUFrTxMqdpby+o5S3isqpb2k7/UFR1j8jhdmj+nPuqAEsnpDH7NH9teqniPSZxpY2jtY0MS7KrZR7k6AnR+D3Xxq4XBGenANYa2uNMW/jjK4vAl47xeMsBtIDj1MbfoO1tt0YswJndP0S4KzLXNzwu9V72XjgeHBUK3iJ7bIdEvredPL7dHyxsifc/8T7dH3ME35vl/0njek0MVtrabPgb22ntb0df5ulJey6v6098GNPOOXUG+kpPqaPyGHx+DwumDSIc0fpg14S2+CcNG6YP5ob5o+mpbWdTYeq2HSwis2Hqtl8qIriioaoxZKanMT4/EwmDslm4uAsCgZnMXloNuPyvVUXLyLxLT3VF/XkvLcikaCfE7jc1c3tRTgJ+iROnaD35HEIPM4pGWO6GyKffLpj+8LGA8d5YcvR099RupXqS2J0XgZj8zIZm5fBpKHZzBrZnwmDMtXRQaQbqclJzB87sNOk6CZ/GwcrGyiuaGB/RT1ltc2U17VQXtfM8YYWmvxtNPnbafK30dzaTktrO8lJBp/POJdJhhRfEjlpKeSkJwcuUxiQkcLQ3HSG56YxNDeNYbnpDMruhy9Oe7SLiPSlSCToHWtOV3dze8f+/lF6HM8x6AMqXIrPkNkvmazAT2bgJ7tfMjnpyQzK6seg7H7kBy47Puz1QS/Se2kpPmdEe0i226GIiEg3IpGgn05HVtXbuoYeP053tT6BkfU5vYzjjH3+/HFcNWNYIIZALMGYOu4VSj5PvI856TGh+3U5oCfHBvZ0/V3hG93dJ/iYXfYnJRlSfUmk+JJI9jnXk33OaJvzY0hOciadiYiIiMjJRSJB7xjZzu3m9pwu9+vrx/GcuWMGuB2CiIiIiMSISAxl7gxcdlcbPjFw2V1teaQfR0REREQkZkUiQV8ZuFwWaIcYFGizuARoBNae5nHWBu63JHBc+OMk4Uw0Df99IiIiIiJxp9cJurV2D7ACp0f5l7rcfDeQCTwc3gPdGDPZGNOpo4q1tg54JHD/73d5nC8HHv/l3qwkKiIiIiLidZGaJHo78A5wnzFmKbAdWIjTs3wX8O0u998euOzaluPfgIuBrxljzgXWAVOAq4FSTvwCICIiIiISVyLSTiMwij4PeBAnMf86MAG4D1hsra3o4eNU4CxYdB9QEHichcAfgbmB3yMiIiIiErci1mbRWnsQuLmH9+22obW1thK4M/AjIiIiIpJQ1JBaRERERMRDlKCLiIiIiHiIEnQREREREQ9Rgi4iIiIi4iFK0EVEREREPEQJuoiIiIiIhyhBFxERERHxECXoIiIiIiIeogRdRERERMRDlKCLiIiIiHiIsda6HUPUGGMq0tPTB06ZMsXtUEREREQkjm3fvp3GxsZKa23emR6baAn6PiAHKHY5lFgzOXC5w9UoEouec3foeXeHnvfo03PuDj3v7nDreR8L1Fhrx53pgQmVoMvZMcZsALDWznU7lkSh59wdet7doec9+vScu0PPuzti8XlXDbqIiIiIiIcoQRcRERER8RAl6CIiIiIiHqIEXURERETEQ5Sgi4iIiIh4iLq4iIiIiIh4iEbQRUREREQ8RAm6iIiIiIiHKEEXEREREfEQJegiIiIiIh6iBF1ERERExEOUoIuIiIiIeIgSdBERERERD1GCLr1mjPm9McYGfgrcjiceGWMmGmPuMsa8bow5aIxpMcYcM8Y8a4y5xO34Yp0xZqQx5g/GmCPGmGZjTLEx5l5jzAC3Y4tHxpg8Y8wXjDFPG2N2G2MajTHVxpi3jDG3GGP02RQlxpjPhr1/f8HteOKZMeYCY8xTxpiSwPtMiTFmhTHmKrdji1fGmA8HnuNDgfeZvcaYJ4wxi92O7XS0UJH0ijFmOfB3oA7IAiZaa3e7G1X8McY8DtwAFAJvAZXAOcBHAR9wp7X2PvcijF3GmAnAO8Bg4FlgB7AAuATYCSyx1la4F2H8McbcBvwKKAFWAgeAIcC1QC7wFHC91QdUnzLGjAK24LyHZAG3Wmt/525U8ckY8x3gP4By4B84r/18YDaw0lr7TRfDi0vGmP8GvglUAM/gPPcFOJ+bycBN1tpH3Yvw1JSgy1kzxgzCeXN/AxgKXIQS9D5hjPknYJO19v0u+y8CXgEsMNZaW+JCeDHNGPMysAy4w1r7v2H7fwZ8FXjAWnubW/HFI2PMpUAm8Ly1tj1s/1BgHTAK+Li19imXQox7xhiD894xDvgb8A2UoPcJY8z1wF+BV4FrrbW1XW5Psdb6XQkuTgXeSw4DZcBMa21p2G2XAK8D+6y1410K8bR0GlF64zeByy+5GkUCsNY+2DU5D+x/E+cLUipwXrTjinXGmPE4yXkx8MsuN38PqAc+a4zJjHJocc1a+7q19rnw5Dyw/yjw68DmxVEPLLHcAVwK3IzzOpc+ECjX+m+gAfh01+QcQMl5nxiDk+O+G56cA1hrVwK1wCA3AuspJehyVgIjuh8DbtPpf9d1vLm3uhpFbLo0cLniJMliLfA2kAEsinZgCUyv5z5mjJkC/Aj4hbV2ldvxxLnzcM5SvAAcD9RE32WMuTMW6qBjWBHQAiwwxuSH32CMuRDIxjmj4VnJbgcgsccYMwb4BfCotfYZt+NJZIH/i6U4ozP6oD1z5wQud3VzexHOCPsk4LWoRJTAjDHJwE2BzZfcjCVeBZ7jR3Dq/v/N5XASwfzA5TFgIzAj/EZjzCqccq6yaAcWz6y1lcaYu4CfAYXGmGdwatEn4NSgvwL8s4shnpYSdDkjgdN1D+FMCr3D5XASmjGmH/AY0A/4prX2uMshxaLcwGV1N7d37O8fhVjEGdWdDrxgrX3Z7WDi1HdxJiaeb61tdDuYBDA4cHkbsA+4DHgXpwTjp8AVwBOopCvirLX3GmOKgT8At4bdtBt4sGvpi9eoxCUBBVrI2TP4CZ/l/FWcyaC3KiE8M7183rs+lg9nFGwJ8BfgJ9H6dyQYE7jUbPo+Zoy5A/g6Thedz7ocTlwyxizAGTX/qbV2jdvxJAhf4NLgjJS/Zq2ts9ZuA64BDgEXqdwl8owx3wSeBB7EGTnPBOYCe4HHjDE/di+609MIemLaAzSdwf2PgNOLG7gH+KO19oW+CCzOndXz3lUgOX8U6OgM8Bm1oztrHSPkud3cntPlftIHjDFfwimbKwSWWmsrXQ4p7oSVtuwC/t3lcBJJx0DWXmvtpvAbrLWNgS5St+C0dtWXpggxxlyMMzn3aWvt18Ju2miMuQbn7+DrxphfW2v3uhHj6ShBT0DW2qVneeg0nHKKm40xN3dznyKnexfXqD69s14870GBD9k/4STnf8Lp49rW28dNYDsDl5O6uX1i4LK7GnXpJWPMV4CfA1txknNPn3aOYVmEXudNgffprn5rjPktzuTRr0QtsvjW8R5T1c3tHQl8ehRiSSQfCVyu7HqDtbbBGLMO5wzGbJwRdc9Rgi5nohj4fTe3fRinF/oTQE3gvhJBxphUnBHzq4GHgZu7dh6RM9bx5r3MGJPUpSd3Nk4JUSOw1o3g4l1gEtePgA+Ay6215S6HFM+a6f79ew5OovIWTkKpkdzIWYXTkWiiMSbVWtvS5fbpgcviqEYV//oFLrtrpdixv+v/h2dooSKJCGPMG2ihoj4TmBD6N+AqnA/ZLyo5jwwtVOQOY8y/Az8ANgDLVNbiHmPM93H6/muhoj4QmE90I3CPtfY7YfsvB17GGdQaa63tbpRdzpAx5hM487OOAXOttYfDbrsSeB7nS+tIr7aK1gi6SGz4NU5yXo6zOtp3T3KK+g1r7RtRjise3A68A9xnjFkKbAcWApfglLZ828XY4pIx5nM4yXkbsBq44ySv52Jr7YNRDk2kL3wN5z3l24Ee3Otwurhcg/M3cKuS84h7EqfP+WXAdmPM08BRYApO+YsBvuXV5ByUoIvEinGBy3ycNmndeaPvQ4kv1to9xph5OAnjh3C+CJUA9wF3a2S3T3S8nn1Ad7XOb+J0XxCJadbaUmPMQuA7OEn5IpyVLJ8HfmitVQldhFlr240xV+GsdP5JnOc9A6jEWTTqPmvtChdDPC2VuIiIiIiIeIj6oIuIiIiIeIgSdBERERERD1GCLiIiIiLiIUrQRUREREQ8RAm6iIiIiIiHKEEXEREREfEQJegiIiIiIh6iBF1ERERExEOUoIuIiIiIeIgSdBERERERD1GCLiIiIiLiIUrQRUREREQ8RAm6iIiIiIiHKEEXEREREfEQJegiIiIiIh6iBF1ERERExEOUoIuIiIiIeMj/B9lYuqqLdm4fAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 267,
       "width": 372
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xrange = np.linspace(-5, 8, 500)\n",
    "plt.plot(xrange, p_hat(xrange))\n",
    "plt.axhline(y=u, c=\"tab:gray\", linestyle=\"--\", alpha=0.4)\n",
    "plt.hlines(u, z - w, z + w)\n",
    "plt.title(r\"$\\tilde p(x)$\", fontsize=15);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 188,
   "metadata": {},
   "outputs": [],
   "source": [
    "w = 3\n",
    "inc = 2\n",
    "zmin, zmax = z - w, z + w\n",
    "while p_hat(zmin) > u:\n",
    "    zmin -= inc\n",
    "\n",
    "while p_hat(zmax) > u:\n",
    "    zmax += inc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 267,
       "width": 372
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xrange = np.linspace(-5, 8, 500)\n",
    "plt.plot(xrange, p_hat(xrange))\n",
    "plt.axhline(y=u, c=\"tab:gray\", linestyle=\"--\", alpha=0.4)\n",
    "plt.hlines(u, zmin, zmax)\n",
    "plt.title(r\"$\\tilde p(x)$\", fontsize=15);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {},
   "outputs": [],
   "source": [
    "seed(3141)\n",
    "z_prime = rand() * (zmax - zmin) + zmin"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {},
   "outputs": [],
   "source": [
    "if p_hat(z_prime) > u:\n",
    "    z = z_prime\n",
    "else:\n",
    "    zmin_dist = abs(z_prime - zmin)\n",
    "    zmax_dist = abs(z_prime - zmax)\n",
    "    if  zmin_dist < zmax_dist:\n",
    "        zmin = z_prime\n",
    "    else:\n",
    "        zmax = z_prime"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 267,
       "width": 372
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xrange = np.linspace(-5, 8, 500)\n",
    "plt.plot(xrange, p_hat(xrange))\n",
    "plt.axhline(y=u, c=\"tab:gray\", linestyle=\"--\", alpha=0.4)\n",
    "plt.hlines(u, zmin, zmax)\n",
    "plt.axvline(x=z_prime, c=\"tab:red\")\n",
    "plt.title(r\"$\\tilde p(x)$\", fontsize=15);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## All together"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 193,
   "metadata": {},
   "outputs": [],
   "source": [
    "def one_sample(p_hat, zmin, zmax):        \n",
    "    z_prime = rand() * (zmax - zmin) + zmin\n",
    "    if p_hat(z_prime) > u:\n",
    "        return z_prime\n",
    "    else:\n",
    "        zmin_dist = abs(z_prime - zmin)\n",
    "        zmax_dist = abs(z_prime - zmax)\n",
    "        if  zmin_dist < zmax_dist:\n",
    "            zmin = z_prime\n",
    "        else:\n",
    "            zmax = z_prime\n",
    "            \n",
    "        return one_sample(p_hat, zmin, zmax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 212,
   "metadata": {},
   "outputs": [],
   "source": [
    "def slice_sampling(p_hat, z_init, w, inc=0.2):\n",
    "    z = z_init\n",
    "    pz = p_hat(z)\n",
    "    u = rand() * pz\n",
    "    \n",
    "    zmin, zmax = z - w, z + w\n",
    "    while p_hat(zmin) > u:\n",
    "        zmin -= inc\n",
    "\n",
    "    while p_hat(zmax) > u:\n",
    "        zmax += inc\n",
    "        \n",
    "    znew = one_sample(p_hat, zmin, zmax)\n",
    "    return znew"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 235,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 442
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "z_vec = []\n",
    "for _ in range(20_000):\n",
    "    z = slice_sampling(p_hat, z_init=4, w=5, inc=2)\n",
    "    z_vec.append(z)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax2 = ax.twinx()\n",
    "sns.distplot(z_vec, ax=ax)\n",
    "ax2.plot(xrange, p_hat(xrange), c=\"tab:orange\")\n",
    "ax.set_ylabel(\"Samples\", fontsize=13);\n",
    "ax2.set_ylabel(\"Ground Truth\", fontsize=13);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 237,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2cAAAHwCAYAAAAitxe3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nOzdd5xkZZn3/89V1TlO92QYJjKRzOAQRjKygAEFXRVFBHZXRR8Tru6u+6j4/FxX14C4ukZEFCMquIoISmYYMjIzMIEZJufpnKur7t8fp7rqVE/nrupTp+b7fr36dc6pOnXOVc3Y1lXXfV+3OecQERERERGRYEWCDkBERERERESUnImIiIiIiOQFJWciIiIiIiJ5QMmZiIiIiIhIHlByJiIiIiIikgeUnImIiIiIiOQBJWciIiIiIiJ5QMmZiIiIiIhIHlByJiIiIiIikgeUnImIiIiIiOQBJWciIiIiIiJ5QMmZiIiIiIhIHigKOgAZGTOLAVGgM+hYRERERKSglQNx51xx0IEcacw5F3QMMgJmlgCsvLw86FBEREREpIB1dnYCOOecRtlNMFXOwqOzvLy8oqOjI+g4RERERKSAVVRU0JnM0GRiKRsWERERERHJA0rORERERERE8oCSMxERERERkTyg5ExERERERCQPKDkTERERERHJA0rORERERERE8oCSMxERERERkTyg5ExERERERCQPKDkTERERERHJA0rORERERERE8oCSMxERERERkTyg5ExERERERCQPKDkTEREREZGsM7NZZnarme02s24z22pmN5tZ3RiudYKZ3W5mO5LX2m9mD5vZe3IRe1CKgg5AREREREQKi5ktAFYB04C7gfXACuAjwCVmttI5d2iE13ov8AOgA/gDsBWYBBwPXAbcnuXwA6PkTEREREREsu3beInZh51z3+x70My+BnwM+ALw/uEuYmZn4CVma4FLnHN7+z1fnM2gg2bOuaBjkBEws/by8vKKjo6OoEMRERGRsej7zGUWbBwiw6ioqKCzs7PDOVc5lteb2XxgM16Fa4FzLuF7rhrYAxgwzTnXPsy1HgHOBk5wzq0dSzxhosqZiIiISK4c2gxP/wA23Q9N273HJi+ARX8Hy6+FujnBxicyuDIze3agJ5xzy4d57QXJ7X3+xCz52lYzexy4GDgD+OtgFzGzWXiJ2TPAOjM7H1gOOOAF4MH+1w87JWciIiIi2Rbrgr/eBE9+F1w887n9L3k/T3wLVn4Uzv0URPWRTArK4uR24yDPb8JLzhYxRHIGvMZ3/gPAef2eX2NmVzjnXhljnHlHfwlEREREsqntANzxVtjzwtDnxXvgkS/DjtXw97dD+agb2I3Lz57cPuw5V50+ewIikTzVNYIK2WBqk9vmQZ7ve3zSMNeZltz+PXAQuAIvmZsKfBa4GvijmZ3gnOsZY6x5Ra30RURERLKlbT/86NLMxGzu2fCu38C/7oJ/2QHv+Bkc7fvM++oj8JMroGuwz7EiBadv4uVwzS+ivu0/OOd+55xrcc5tBq7BG+64CLgyN2FOPCVnIiIiItnQ0wE/ezsc2uQdWwQu+RJc87+w8CIorYKyGljyerj+L3D+p9Ov3f0c/PLdEO8NJnaR7Or7pqF2kOdr+p03mMbkthu4x/+E87oa3p08XDHaAPOVkjMRERGRbPjjx70kC7zE7K23whnvH7g7YyQC534S3nBz+rFXH4H7/+/ExCqSWxuS20WDPL8wuR1sTlr/67QO0vijL3krH0VseU3JmYiIiMh4vfgr+NvP08eXfhmOe8vwrzvt2swK2upvw6a/ZD8+kYn1YHJ7sZll5BvJVvorgU5g9TDXeRFvrtkUM5s+wPPHJ7dbxx5qflFyJiIiIjIerfvgnk+kj0+6Clb848hff/YnYNGl6eO7PwidTdmLT2SCJeeE3QfMBT7Y7+mbgErgdv8aZ2a2xMyW9LtOL/Dd5OGX/YmemZ0AvBfoBe7M8lsIjJIzERERkfG491/SzTzq5sJlXx7d6yMReNM3oXKqd9y2Fx78j6yGKBKAG4D9wC1mdpeZfdHMHgA+hjec8dP9zn85+dPff+BV2N4DPGNmXzOznwBPAmXApwqplb6SMxEREZGx2voYrPtt+vgNN0Np9eivUzXVGwrZ5+nvw941449PJCDJ6tlpwG3A6cCNwALgFuBM59yhEV6nA7gQr+JWgVeJexOwCrjMOfe1rAcfICVnIiIiImORSMB9/54+Pv6tsOD8sV/vuLfA/OTrXQLu/+z44hMJmHNuh3PuWufcTOdciXNujnPuI865hgHONefcAN1zvATNOfc559wS51ypc67WOXeRc+5PuX8XE0vJmYiIiMhYvPx72P28t19UBhd9bnzXM4NL/tPr9Aiw+a+w5aHxXVNEQkXJmYiIiMhoOQePfjV9fPr7YNIx47/utCVw8rvSxw+Pcv6aiISakjMRERGR0Xrlr7D3RW+/qBzO+nD2rn3upyBS5O1vexx2PJ29a4tIXisKOgARERGR0PFXzZa/FyqnjOhlP3ty+7DnXHX6bDjhbel10x6/Gd5xxxiCFJGwUeVMREREZDS2rYLtq7z9SDGc9aHs38NfiVv/Rzi4Kfv3EJG8o+RMREREZDQe/0Z6/6R3QO2s7N9j+jJY+HfJAwerbsn+PUQk7yg5ExERERmppu2w8c/p45Ufzd29Xuu79t9+Ae0jWhZKREJMyZmIiIjISD13O+C8/fnnw5Rjc3ev2WfC0cu9/XhPeg6aiBQsJWciIiIiIxGPwXM/SR+fdm1u72fmNRvp89yPvRb+OdbZE+dQWze7mjpZveUQL+5sIpHI/X1FRN0aRUREREZm473Qttfbr5oOiy/L/T2PuwLu/VfoaYODG2HHkzD7jJzcqjeR4K7nd/H89qa+2iDfevAVAE6ZPYlvv+tUZtaW5+TeIuJRciYiIiIyEs/8KL1/yrshWpz7e5ZWwfFXelUzgGd/nJPkrDee4GdPbWf93tYBn39+exMXffVh3rFiNgumVqUev+r02VmPReRIpmGNIiIiIsNp2g6bH0geGJx6zcTde7nvXut+B51NWb18bzzBHU9mJmaTKoqZWVvGnPoKIuY91t4T59bHXuXhjQdwEzC8UuRIpMqZiIiIyHDW3EmqEciCC6BuzsTd+6hTYfoJsG8N9HbC2t/Aa67PyqX7ErMN+9KJ2XmLpvK6ZdMx87KyVw+28/OnttPW3YsD/rxuL82dMd500lFZiUFE0pSciYiIiAxnzZ3p/RPfzv7WLh7acIDN+9vYfKCdLQfbONDSTUlRhLLiKKVFEeoqSzhjfj1nL5zKqbPrKCka44AlMzj1avjTJ73jLCZnv31+V2Zitngqr1uaTswA5k2p5EPnH8vPn9rOtoYOAFZvOcSUqhINaxTJMlNZOhzMrL28vLyio6Mj6FBERESOLPtegv85E4BYpJT31N3BU7tjxEfxGaqiJMq5i6ayZEYNU6tLhzx3wISnbT98dTG4BGDwsXVQe/Ro3sVhPvf7ddy2amvq+PzFU7moX2LmF084fvnMDtbuagYvCn5wzWlcuHT6uOKQ/FNRUUFnZ2eHc64y6FiONAU358zMZpnZrWa228y6zWyrmd1sZnUjfH2lmb3LzH5mZuvNrN3MWs3sGTO70cxKBnmdG+JndXbfpYiIiEyYtemq2Z9jp/DErp5RJWYAHT1x/rR2L998YBMPb9hPfLSt6aumwbxzkgcOXrprdK/vpysW5/d/2506PvmYSUMmZgDRiPG25bM4pq68Lwr+z8+f56XdLeOKRUTSCmpYo5ktAFYB04C7gfXACuAjwCVmttI5d2iYy5wN/BRoAB4E7gLqgTcCXwGuMLMLnXNdA7x2G3DbAI/vHP27ERERkcA5R/uzv6CvfHB3/KzUU8fUlbNwejVTqkqZWl3KP7x2Hr0JR1csTndvnFf2t/PopgM8sukAOxo6AehNOP780j7W7G7milNmcdSkUbSmP/5K2PKQt7/2N3DmB8f8tr714Cs0tPcAUF4c5bITZg6ZmPUpjkZ49xlz+M7Dm2nsiNHRE+f6Hz/NXR9cyfSasjHHMxI/e3L7kM9riKUUgoJKzoBv4yVmH3bOfbPvQTP7GvAx4AvA+4e5xl7g3cCvnXM9vmtUAw8BZwEfBL46wGu3Ouc+N474RUREJAADffBPOMeW5x/kMx27AGh2FTzqTuLEWbWsXDCFY+orMs6vq8wcXHPstGouOX4GAGt2NvNvv1vDmuSQwN1NXfzPQ5u56vTZLJ1ZM7Igl74R/vBxSMRg17PQ8CrUzxvtW+WV/W185+HNqeNLjptBVenIPxJWlxXznjPn8p2HN9Pdm2BPcxfX3PoUv3zfmdSWT8DyAiIFrGCGNZrZfOBiYCvwrX5PfxZoB642syHHzjrnXnDO3eFPzJKPt5JOyM7LRswiIiKSn7p749yxehvH7Lon9diDkTO54cLjeMdrZh+WmIGX4A32s2ZXM39/2jFcctwMipK96ePO8fOntvPK/raRBVVeB8delD5e99tRvy/nHP9+1xpicW9Y5ez6CpbPHdHMjwzTa8q4asXs1HtZv7eVf7z9Gbpi8VFfS0TSCqlydkFye59zLuF/wjnXamaP4yVvZwB/HeM9Yslt7yDPTzKz64AZQDPwrHNO881EROSIM9wQNMjfYWi9iQQ/Wb2NLQfauLj0mdTjZSe/jSnDNPMYSjRinLNoKstm1nDbE1tpaO+hN+H4yeqtXLdyHnMmj6D3wvFXwsY/eftrfwtn3ziqGH73/C5Wb2kAIGJw+clHERnBcMaBLJxezZeuPJEbf/03AJ56tYGP/uIFvvWuU4lGxnZNkSNdwVTOgMXJ7cZBnt+U3C4axz2uS27vHeT5k4Af4g2f/G/gCTN7wcxOGOkNzOzZgX6A3A7kFhEREZxz3PX8LrYcaOc428rR5k1V7y6uoXHaiqzcY0p1KdevnJcaAhiLO25btZVdTZ3Dv3jxpVCU/Eiwb603tHGEWrpi/Mc961PHKxdMYWbtKOa8DeDK5bP410uXpI7vXbeXz9y9VotUi4xRISVntclt8yDP9z0+aSwXN7MPAZcALwC3DnDK14CVwFSgGngNcCdewvaAmY2v362IiIjk3APr9/Pc9iYALo6mq2a7p56Li2RvPlVdZQnXr5yXmuvV3ZvgR4+/mmrSMajSKph/Xvp4wz2DnXmYb/xlEwfbugGYUVPGBUunjTLqgf3TOfO5/rXpuW93PLmdD/z0OVq6YkO8SkQGUkjJ2XD66uuj/irHzK4AbsZrFnKlc+6wvzbOuRudc6uccwedc23OuWecc28DfgNMAT4xkns555YP9AMM1B1SREREsuS5bY38df3+1PGby55P7e+YfsFALxmXKdWlXLdyHuXFUcBrt//T1dvo6Bls9kTS4svS++tHlpxt3NeasabZp1+/lNKi6GhDHpCZ8enLlnL5yUelHrt33V7e9M3HeHmP2uyLjEYhJWd9lbHaQZ6v6XfeiJjZm4FfAPuB85xzW0YZ13eS23OGPEtEREQCs+VgG797flfq+Owprczp3QpAb6SUPVPOGuSV4zOjtoxrzpqbmqO1t6WLf77zxaGHBS66hNR3ztufgI6GIe/hnONzv1+XWlvtjPn1vOHEmdkIPyUSMb7ytpO4duXc1GNbD3Xw5m89zk+e2KpGISIjVEjJ2YbkdrA5ZQuT28HmpB3GzN4G/BrYB5zrnNswzEsGciC51QrrIiIieWhnYwc/e3J7amHpGTVlfGhm+uPC3ilnEi86vDtjtsyur+Dyk9JVpz++uIfvPjLEd8HV02HWad6+i8Om+4a8/j1r9rJqszd3LhoxbnrT8SNa02y0iqMRPvvG4/jvq06hssSrynX3Jvi/d6/jjC/+lS/88SVePdie9fuKFJJCSs4eTG4vNrOM95Vco2wl0AmMqHuimV0F/BzYjZeYbRrmJYM5I7kdbcVNREREcqwrFuf9P32Wjh6vslNVWsR7zpzDvIMPps7ZOS37Qxr7O21uPafPq08df/ne9Tyy8cDgL8gY2vjHQU/r6Onl//vjS6nj95w5h8UzqscV63DecOJR3P2h17JwWlXqsaaOGN9/9FXO/8pD/N3XH+HGX/2NHz3+Ks9uayAWTwxxNZEjS8G00nfObTaz+/Da5X8Q+Kbv6ZvwKlffdc6lvrIxsyXJ1673X8vMrsFr+rENON85t22oe5vZqcAG/7WTj5+I17kR4KdjeV8iIiKSG845/vW3a1i7y5sXFTG4asVsphe1M6XxBQASRNg17dwJief1J85kb0sX2w51kHDwoZ89x50fOItF0wdIphZfBn+9ydt/5a8Q64Liwxs7f/Ge9exp9qatT64s4aMXjadp9eGGWjLhXafPYdXmg6zb3ZLRiXLDvlY27GvlN895x5Mqirl42XQuO2EmK4+dQnG0kGoHIqNTMMlZ0g3AKuAWM7sQeBk4HTgfbzjjp/ud/3Jym6rtm9n5eIlZBK8ad+0Apf8m59zNvuMPA1eY2QPADqAbWILX3TEKfB+vCiciIiJ54oePvZoxz+yNJx3F3CmVzNj9EBG8as6hSSfSXVo/yBWyqygS4aoVs/nR41vZ29JFS1cv19z6FL+94azDW95PXQz186FhC8TaYeujsPB1Gaf85tmd/GR1+vvlT126JNW+fyKUFEU4b/E0/ufdy3lk0wHuWL2dBzfsT81969PUEeNXz+zkV8/spK6imM9ffjxv9A3zFDmSFFRylqyenQZ8Hi8xugzYA9wC3OScG3rGrGcO6eGe1w1yzja87o197sJrOHIi3mLYZcAh4E/A951zvx/lWxEREQm93niCZ7c3sn5PK929cXoTjlg8QdSMY6dVc+qcSSyZUTP8hYYw1sWuH9ywny/+KT1w5rQ5dayY6yVhRx14LPX47qmvHVd8o1VdVswPrjmNt3/3Cdp74uxp7uKaW5/i1+87i9oKX2Jl5lXPnvhv73jT/RnJ2dpdzfzb79akjl9/wkzetnzWRL2NDL98egcAFyyZxsoFk9nT3MWupk52N3Wy5WA7zZ3pJtiNHTE++ssXqCor4vzF2Wn1LxImBZWcATjndgDXjvDcw0pizrnbgNtGec+78BI0ERGRI15XLM4TWw7xyMYDGR+8/XY3d/HIzQdYMqOat5xyNO86Y05qza9ce3ZbIx/46bOpCs4psyfxppOO8ppkuAQzD65KxznByRnA8UfX8p2rl3PdbU8Tizs27mvjH29/htuvX0FZsa/9/bEXpZOzV/6Seripo4cP3PEs3b1e9e/YaVV86a0n5qQJyGiVFkeZO6WSuVO8PmnOOXY0dtIbT/C/L+5mX0s38YTjg3c8x6/edybHHz1YE26RwlRwyZmIiIjk1lDVqg17W/nd8ztp6Rpmra6k9Xtb+eKf1vOjx7fymTcu49LjZ+Q0idi4r5XrbnuarpiXuMyqK+e7717OX1721jerb3mZsh5voE1nST2NNUtzFstQzl44la+87SQ+8gtv7ttTWxu4/sdP87W/P5npNcm5ZbPPhKJy6O2Ehs3Q8CrdNbP5yC9eYEeDN8erqrSI7169fMIS39EyM2bXV3DV6bP5p3Pn85ZvrWJXUycdPXGuve1pfnfDWcyqy12nTJF8oxmXIiIikhXbD7Vzx5PbMhKzqtIiLj1+Bv9w9jw+cO4C/s8Fx3L1GXM44ehaSovSH0P2tnRxwx3P8d4fPc22Q7lpt76joYOrf/hkqpo3paqEn1x/OtNq0o00jjrwaDqmKSvBgvuodPnJR/Ppy9LJ4eOvHOLirz/C7/+223uguAzmnZ16fsvq33PZNx7lYV+Xx6+87SQWTE13Tcxn06rLuO3a11BT5iWSB1q7ufZHTw9afRUpRPn5NYqIiIiESkN7Dz9ZvY3e5FDBytIizls0ldfMraekKDPBmVlbztKZNXTH4ry4s5n7Xt5He7eX0D288QAXfvVhLlo6nZXHTuHqM+dkJb5XD7Zz7Y+eYl9LN+Aljbddu4J5UzKXIZ0Z4HyzgfzjOfNp6+7lG3/1VvRp7ozx4Z8/z71r93DBkumcULWCxXjrnG1+4m42x45NvfaG8xZwyfEzAol7rBZOr+Z77zmNq3/4JLG4Y9P+Nr5073r+4y0nBB2ayIRQciYiIiLj0tkT58erttKeXCusoiTK+8+Zz+Sq0iFfV1oc5TXz6jn+6Fruf3kvT25pwAG9Cce96/aydnczK+bVj3tdrvtf2sfHf/kCrckEsCQa4XvvWX7YfKaSnmYmN3lNNBzG3ilnjuu+2fKx1y3ijPmT+cSv/5ZqSX/Pmr3cs2Yv86yOB5O/5jMj6yiml9LSMj5x8SKuOWtucEGPUv+hspeffDR3PrsTgN89t4ulM2qIRoKfMyeSaxrWKCIiImMWTzh+9tQ2DrR5FaloxLj6jDnDJmZ+5SVR3nTS0XzgvAUcNSk9xHBnYydv+OajfP3+janK2mgknOP+l/bxj7c/k07MiiJ886pTOGvBlMPOn3HoiXQL/doT6C6pG/U9c+XMBZO596Nn8/bTjsl4/FU3g+2JqQBUWRc3LDjIXz5+Lu9dOS8vGoCM1SnHTEq1/e+MxdlysC3giEQmhpIzERERGbO/vLyPzQfSc8Teeuos5kyuHOIVg5tVV8EHzj2Wi5dNT1VJYnHHN/66idd+6QH+56HNI0rSEs6xYW8L3390Cw9u2J96/OhJ5fz2A2fxd8cNPNTP36Vxz9SVY3oPuVRdVsyX3noi1792HmctmMzJx0xi8fQani1enjrn4tK1PLB+/xBXCQcz47ij0sssrNvdEmA0IhNHwxpFREQkw0jWDgPo6U3w5KuHUscXLZ3GScdMGte9oxHjvMXTWDazht88t5Mdjd4wvsaOGF+6dz3fe2QzbzvtGJbPqeOU2el7xeIJWjpjbDnQzmObD3KgtTvjumcvnMIt7ziFusqSgW/sHNMPPZk63JMnQxoHsmBqVUaTj/p9l8Jz9wIw88Aq/rb4Y0GFllXHHVXLqs3ev6+XdrfwppOOIhLiaqDISCg5ExERkTF5cWdTqiX95MoSzsviosHTasp437kLKIoY33zgldRcq8aOGN97ZEvqvJqyInoTjo7kfLf+IgbvP3cBN168eMg5S1UdO6nq9LogxqIVHKo9PmvvJdf21a8gYVEiLk5963pKepqAwxfeDps5kyuoLC2ivbuXtu5eth/qSK2PJlKoNKxRRERExuSprQ2p/RXz6rNe1YiY8Y4Vs3nwE+fxn1ecwKy68sPOaenqHTAxKy2KsHLBZG68eDGfvGTJsM0kph9andrfX78cFyke/xuYIL3FVTTUHpc6nt7wdIDRZE/EjGUz/UMbmwOMRmRiqHImIiIio7a7qZOdySGH0Yhx6uzcNc8oKYrwjhWzuXL5LB5cv59ntzXy/PYmXtyVrtxFDGrKiqmtKGbZzBpeM7eesuLoiO8xwzekcd/k07P+HnJt7+TTmdL0IkByeOb1wQaUJccdVcPTyS8B1u1p4bITZoa60YnIcJSciYiIyKg99Wq6anb8UTVUlub+I0VxNMLFx83g4mRDj1g8wbcf3ExpUYSqsqKxV+4SCaYfeip1uHfyGdkId8xGOufPb9/k0zl+8/cBLzkbyzXy0fyplZQVR+iKJWjqiLG7qYujB6igihQKDWsUERGRUemOxXlhZ1PqeMW8yYHEURyNMLW6lJry4vENqdy/jrJYIwBdxXU0VS/MUoQT58Ckk4lHvGYnte1bKe/aF3BE2VEUibB0Rnpo41oNbZQCp+RMRERERuWFnU309HrDCadWlzJ3ckXAEY3TlodSu/smrwAL38ejRLSUA3WnpI79lcCwy2yp34xzLsBoRHIrfH99REREJDDOuYwhjafPqw//HKAtD6d2904JdkjjeOyrX5Ha9y8LEHYLp1dTHPX+jR1s62F/v2USRAqJkjMREREZsZ2Nnexp7gKgOGqcckzuGoFMiHgvbH8idbg3hM1A+vhjn3HoKSiQClNxNMLi6dWp45f3aEFqKVxqCCIiIiIj5p9rdsLRkygvGXlHxKAM1Ryjvmktl/S0AdBeNoP2imMmKqysa6g9jli0kuJ4O5Vde6jq2EFbZfjXOwNYNL2atbu9pGx3cs07kUKkypmIiIiM2M6GjtT+CUfXBhhJdkxrfDa1v79+eYCRjJ+LFGW8h2kNzw5xdrhMqylL7R9s6wkwEpHcUnImIiIiIxJPuNSQRqAgWppPa3gmtb+/LtzJGcD+ulNT+9ManxnizHCZWlWa2j/Y1k2iQIZsivSn5ExERERGZH9rF70J70PxpIpiqiZgbbOccgmmNj6fOjwQ8soZZL6HqQ3PBRhJdpWXRKlMDqHtTTiaO2IBRySSG0rOREREZER2Nabn+hw9KfxVs9q2zZTGvHWzukrqaamcF3BE49dQexy9EW8IYHXnTsq79gccUfZMqU5Xzw60qWOjFKaQf+UlIiIiE2WnrxHDrAlKzoZq5jFe/jlZ++tOhbAvCQAkIsUcmnQC0xueBmBq43Nsn3lJwFFlx9SqUrYd8uY8HmzrZpGvg6NIoVDlTEREREYko3JWF/KFp/ESlz6FMKSxT8a8s4YCmnfmr5xprbNQMLNZZnarme02s24z22pmN5vZiNfgMLOHzMwN8VM2/FXCQ5UzERERGVZvPMFefzOQsA9rdK5f5axwkrMD9afCZm/fn4CG3ZQqDWsMEzNbAKwCpgF3A+uBFcBHgEvMbKVz7tAoLnnTII/3jivQPKPkTERERIa1r6WbeLJDXn1lSSjWNxtKVcdOKrq9+Vg9RVU01SwKOKLsOTjpZBIWJeLiTGp9heJYM7Hi8C97kNGxUZWzMPg2XmL2YefcN/seNLOvAR8DvgC8f6QXc859LtsB5iMNaxQREZFh7WxKr28W+qoZMNW3vtnBupNxFu5k06+3qILGmqUAGI6pjS8EHFF21FWWEElOC2zp6qW7Nx5sQDIoM5sPXAxsBb7V7+nPAu3A1WZWOcGh5T0lZyIiIjKsQuvUWKhDGvtkzjsrjMWooxGjvtK/3pkWo86xMjN7dqCfEbz2guT2Pudcwv+Ec64VeByoAM4YaTBm9nYz+xcz+7iZXWpmpcO/KnyUnImIiDE4K4kAACAASURBVMiwdjX5m4EUQHLmq5ztrz8twEhy40C9fzHqwkjOILMpiIY25rXFye3GQZ7flNyOZjzxL4AvAl8F7gG2m9lbxxZe/tKcMxERERlSLJ5gX0vhNAMp79pPdccOAHojpTTUHhdwRNl3wFc5q29+iWi8k3g03P/dAKZWlfBycl9NQXKuyzk31rJy3yTH5kGe73t80giudTfwFeB54BAwB7gGuBH4pZm9wTn3pzHGmXdUORMREZEh7W3uIuH1AmFKVQllxeGen+XvYHho0okkIsUBRpMb3SV1NFfOByDiepnctCbgiLIjo2OjKmdh1reooBvuROfc151zf3DO7XLOdTnnNjjn/g0vOYsA/5HLQCeakjMREREZkn/x6bBXzSBz7a/9BbS+WX/76wtv3lnGsEZVzvJZX2VssDahNf3OG4sf4LXRP9nMCmZFciVnIiIiMqRCW3x6SuPfUvsH6k4JMJLcOuBrdFIo6535K2cH27pJuGELLxKMDcntYHPKFia3g81JG5ZzrgtoTR4WTNdHJWciIiIypN0FVDkr6u1gUqv3edBhHKw9MeCIcsdfFZzS9DcsEf61eitLi6hIrrEXiztaOmMBRySDeDC5vdjMMvKNZJVrJdAJrB7rDcxsMVCHl6AdHOt18o2SMxERERlUT2+6GYgBR00qCzagcapvXksEr7N3c9UCeourAo4odzrKZ9JROg2A4ngntW2vBBxRdmRWz9ROPx855zYD9wFzgQ/2e/omvErX7c659r4HzWyJmS3xn2hm883s6P7XN7MpwI+Sh79wzoX/m4ckdWsUERGRQe1p7kzN2J9aXUppUbibgUxp8g9pPDnASCbGwbqTmL33fsAbztlUs2SYV+S/qVWlbG/wFkU/0NbNsdMKN8EOuRuAVcAtZnYh8DJwOnA+3nDGT/c7v68Rp/keOwf4gZk9DGwGGoDZwGV489meAT6ZqzcQBFXOREREZFCFNKQRYKpvvtnBSScFGMnE8L/HKc0vBhhJ9kypVsfGMEhWz04DbsNLym4EFgC3AGc65w6N4DLPAj8FpgFXJq9xCbAG+DCw0jnXlPXgA6TKmYiIiAyqsSM9p8ffKS+UnGNy0xGcnPkS0zCbWlWS2lfHxvzmnNsBXDvCc22Ax9YA781yWHlNlTMREREZVJOv4cKkinCvB1bdsY2ymPcle3dxLa2Vc4MNaAI01Cwlbt538TUd2yjtaQw4ovHzV84OqnImBUbJmYiIiAyquSPdcKG2vGSIM/PflIwhjSeCHfZFfcFJREtprFmWOp7cFP6hjfWVJUSS/+maOmP09CaCDUgki5SciYiIyKCa/ZWz8nBXzqYcYUMa+xysSy8X4P8dhFVRJEJdRfqLgkPtqp5J4VByJiIiIgPqTSRo7fI6VBtQo+QslDLmnRVA5Qwy5z+qKYgUEiVnIiIiMqCWzt5UG/3qsiKikfAOAyyKtTGpdRMACSIcmnRCwBFNHH9yNrlpDebiAUaTHZMr05Wzpg4tRC2FQ8mZiIiIDMg/pLE25FWzyc1rsGSq2Vy9kN6iyoAjmjgdZTN8i1F3UNsa/sWoq8vS/x7bugtm/WERJWciIiIysCZ/M5CKcDcDmXqEDmkEwKzf0MbwzzurKk2vBqXkTAqJkjMREREZUME2A6k7wpIzMt9zQSRnZenkrLVLwxqlcCg5ExERkQEVzBpnLpHRQv6Iq5yRXDogqRCagqhyJoVKyZmIiIgMqLmjMOac1bRvpTTWAkBXcR2tFbMDjmjiNdQsSy9G3b6Vkp6mgCMaH3/lrK1LyZkUDiVnIiIiMqDMYY3hnXPmr5odOkIWn+7PW4x6aeo47NWzypIi+v4rdvTEiSfckOeLhIWSMxERERlQU6e/IUh4K2eTm9em9g8eQS30+yukpiDRiFFeEgXAAe09qp5JYVByJiIiIofpisXpiiUAKIoYlckPwmHkT84O1R65ydkh37wz/+8krKo1tFEKkJIzEREROUz/Nc4spEMBI/FuJrVsSB031B4XYDTBOlR7fGq/vnktuHAPBVRTEClESs5ERETkME3+ZiAhHtJY17qBqPM+uLdUzKGnpDbgiILTVjGL7mLv/ZfGWqjq2BFwROOj5EwKkZIzEREROUzhNANZk9o/NOn4Ic48AphlVM/CPrQxIznTsEYpEErORERE5DAZzUBC3EZf880y+Yd1hj05qy5L/7tU5UwKhZIzEREROYx/jbMwL0CdmZwd4ZUzBph3FmIa1iiFSMmZiIiIHKYpY1hjOJOz4lgzNe1bAUhYEY01S4INKA9kJmcvY4nwJjVaiFoKkZIzEREROUz/bo1hNLl5XWq/sXoRiWhpgNHkh66yqbSXTQegKNFFbdvmgCMaO3/lrLU7NsSZIuGh5ExEREQyJJzLGNYY1m6Nk5t8QxqP4MWn+2sokKYgqpxJIVJyJiIiIhnau3uJJ9fAKi+OUloUzgWoJzf7OjVqvllKocw7qywpom/1vY6eOL3xRKDxiGSDkjMRERHJ0FQIzUCcU6fGQWS20183xJn5LRoxyku8Lw4c0NDRM/QLREJAyZmIiIhkKIT5ZuVd+yjvPghALFpJa9XcYAPKIw21y1L7k1o3Eo13BRjN+PjnnR1o7Q4wEpHsUHImIiIiGZoKIDnLrJodh7NwDs3MhVhxDc2VcwGIuDh1LeuDDWgcqn3zzg62qXIm4afkTERERDI0+4aHTaooCTCSscuYbzZJ8836a8iYdxbeoY3+ytlBVc6kABRccmZms8zsVjPbbWbdZrbVzG42s7oRvr7SzN5lZj8zs/Vm1m5mrWb2jJndaGaD/r+UmS0zs1+Z2X4z6zKzDWZ2k5mVZ+8dioiI5FZBVM6aNN9sKJnzztYMcWZ+y0jO2pScSfgVDX9KeJjZAmAVMA24G1gPrAA+AlxiZiudc4eGuczZwE+BBuBB4C6gHngj8BXgCjO70DmXMUDbzE4HHgCKgTuBHcAFwGeAC5Ov0V8NERHJe81hX4DaJTIaXTSoU+NhCqUpSFVZ+t+n5pxJISio5Az4Nl5i9mHn3Df7HjSzrwEfA74AvH+Ya+wF3g382jmXGtdhZtXAQ8BZwAeBr/qeiwI/AiqAy51zv08+HgF+BVyZvP9/ju/tiYiI5F5zyLs1VndspzjeDkBnST0dyUWXJa2xZgkJKyLieqlp30pxrIVYcU3QYY1atSpnUmAKZlijmc0HLga2At/q9/RngXbgajOrHOo6zrkXnHN3+BOz5OOtpBOy8/q97FxgKfBIX2KWfE0C+GTy8P1mZoiIiOSx7t44rd3egr4GVJeFLzmrb34ptd9Yuwz0f7+HSURLaapemDoO67yzKjUEkQJTMMkZ3hBCgPuSSVFKMrF6HK+ydcY47tH3VWL/Zej77n1v/xc457YAG4E5wPxx3FtERCTn9janR+3XlBcTjYQvsalvSSdnDTXLhjjzyFYIQxs150wKTSElZ4uT242DPL8puV00jntcl9z2T8Kydm8ze3agH6Bs9OGKiIiMzu6mdHIW1mYgdc0vp/aVnA0uMzlbO8SZ+UvrnEmhKaTkrDa5bR7k+b7HJ43l4mb2IeAS4AXg1om8t4iIyETZ3+qrnJWFcGq6c9S3+JKzWiVng2moPS61P7kpnB0bK0uL6KvtNnT00BtPDHm+SL4L4V/dMev7364b9QvNrgBuxmsWcqVzLjbMS8Z8b+fc8kFiaMcblikiIpIzje3peTuVpeH7mFDVsYOS3lYAuorr6CibEXBE+au5agG9kTKKEl1UdO+nrOsAXWVTgw5rVKIRo7wkSkdPHOe8BG1atQYbSXgVUuWsrzpVO8jzNf3OGxEzezPwC2A/cF5yDtmE3FtERGSiNfg6NVaUhC858883a6xdqmYgQ3CRoozKYiEMbTzYqqYgEm6FlJxtSG4Hm9fV15JosHlhhzGztwG/BvYB5zrnNgxyatbvLSIiEoTMylk0wEjGxt+pUfPNhpcxtDGsyZlv+O0BNQWRkCuk5OzB5Pbi5PpiKck1ylYCncDqkVzMzK4Cfg7sxkvMNg1x+gPJ7SUDXGc+XtK2DRio6iYiIpI3GjrSyVnYK2eabzY8fwLr/92FScZaZ2oKIiFXMMmZc24zcB8wF2+RaL+bgErgdudce9+DZrbEzJb0v5aZXQP8BNgOnDPIUEa/h4GXgXPM7E2+60SALyUPv+OcG/V8NxERkYnU5EvOKktCVjlzjjp/M5CapQEGEw7+BLau+SUI4UcVtdOXQhK+r8SGdgOwCrjFzC7ES5hOB87HG1L46X7n9/0FTw1IN7Pz8boxRvCqcdcOsHZ0k3Pu5r4D51zczK7Fq6DdaWZ34iV2FwKn4a2x9vVsvEEREZFcamj3zTkLWUOQys5dlMZaAOgurqG9/OiAI8p/LZVziUUrKI53UN7TQHn3fjrLpgcd1qhU+RZKV3Im42VmdcB0oBxfjjAQ59xz2b5/uP7qDsM5t9nMTgM+jzfE8DJgD3ALcJNzrmEEl5lDuqJ43SDnbMPr3ui/95Nm9hq8Kt3FQHXyvM8D/+mc018LERHJexlzzkJWOTtsvpmagQzPIjTWLGFao/cZs775JXaFLTnTWmcyTmZWBvwzcA0wb4Qvc+Qglyqo5AzAObcDuHaE5x72V9s5dxtw2xjv/RLwtrG8VkREJGjOuVDPOfOvb9aoIY0j1lC7LJ2ctbzErunnBxzR6FSX+Yc1qlujjE6yN8VDwMkMUymbCOH6qysiIiI509ETp6fXW8S3KGIURwP/nDIqagYyNhlNQZrD1xREc85knP4VOCW5/2e8vhObgI4gglFyJiIiIgA09FuAeoA51/nLOa+hRVJDzXFDnCx+/nb6YezYqORMxumteEMUv+Oc699UcMIVTLdGERERGZ/GjCGN4ZpvVtG1l7JYEwA9RdW0VcwKOKLwaK2cQyxaDkB590HKu/YHHNHoVPqSs0PtPfTGEwFGIyF0THKbF837lJyJiIgI0K9yFrb5ZhlVs6VqBjIKzqI01qRXFgrb0MZoxFJfJjiXuVafyAg0J7eHAo0iScmZiIiIAP0qZ6XhqpzVt6xL7TfWqhnIaDWGfDHqjKGNrUrOZFRWJ7eLA40iScmZiIiIAP3WOAtb5Sxj8Wk1AxmtjMWofb/LsKgq07wzGbP/AhLAJ4MOBJSciYiISFJo1zjr3wxEnRpHLewdG/1fJjR1xoY4UySTc+5x4AbgDWb2UzObEWQ84fpaTERERHImY42z0vB8RCjv3k95TwMAsWglrRWzA44ofFqq5tEbLaco3klF937Kug/SVTol6LBGrLw4/WVCs5IzGYSZ/X6Ip/cA7wT+3szWJo/jQ5zvnHOXZzM+UHImIiIiSWGtnGU2A1kCpoFBo+UsSmP1YqY2vQB4v9Pd084JOKqR8ydnj248QHSQhjBXna7E/Qj3Bry2+f3/gfgfK8JbkPrkYa7lshta+uYiIiIi/Vrph+cjgr+BRaOGNI5ZQ+0yX3K2LlzJme/LhM7YUMUOmUhmNgv4PHAJMBmvGnUXcJNzrnGM1zwHeBBvetYXnHP/PoqX/5YcJVXZEp6/vCIiIpJTjb6GIJUh6tZY3+xvBqJOjWPl/92FrWNjWXG6WtrZo+QsH5jZAmAVMA24G1gPrAA+AlxiZiudc6NqX29m1cCPgQ6garQxOefeOtrXTDTV/UVERAToN+csRJWzuhZ/M5DjAowk3PyNVMLWFMQ/rFGVs7zxbbzE7MPOuTc75/7FOXcB3mLPi4EvjOGa3wBqgS9mL8z8ouRMREREcM5lzDmrCMmcs7KuA1R0HwAgFi2ntXJOwBGFV0vlfHojZQCppiBhoWGN+cXM5gMXA1uBb/V7+rNAO3C1mVWO4pqXA9cCHwZ2ZydSMLMrkj8jXrm+7zXZisFPyZmICECsE/atg71rvH2RI0xrdy+9CW8qRklRhOJoOD4i+Nc3a6xZgrNwJJX5yEWKaKpZlDoO03pn/spZl4Y15oMLktv7nHMJ/xPOuVbgcaACOGMkFzOzacD3gbuccz/NZqDAncCvgPIRxhL1vSbrwjNmQUQkFxq3wQP/D17+A/Qmk7KiMlh8GVz4GaifF2x8IhMkvJ0a16X2G7X49Lg11CxjStOLgDe0cc/UswOOaGQ0rDEnyszs2YGecM4tH+a1i5PbjYM8vwmvsrYI+OsIYvkeXlHp/SM4dyxGXDUb52uGFY6vxUREcmHNnfCt02HNr9OJGUBvF6z7rffc334ZXHwiE6ihPZzzzepbtPh0NmXMOwtRUxANa8w7tclt8yDP9z0+abgLmdl1wOXADc65fVmIbbz6GpHkZEG98Pz1FRHJpqd/CH/8eOZjtbO978GatnvH8W743T9BVxOc/r4JD1FkImW20Q9P5cw/9E6dGsevoSacTUHK/MMaYwkSzhEZ+RQiGVjXCCpkY9X3H2fItvZmNhe4Gfi1cy4nwwjH4LXJ7f5cXFzJmYgceTb+Ge75RPp48kK4/L9hdnLo+85n4O4PwoH13vGfPgU1R8HSN058rCITpCGjjX44Ph6Udh+issv7Ir03UkZLpYYhj1dz1XzikRKiiR4qu/ZS2t1Ad2l90GENK2JGWXGErpg3vakrFg9VBbgA9VXGagd5vqbfeYO5FegEbshGUABmdssgT33VzIaqhkWBmcBFeEnl49mKyU//akXkyNK0A37zD9A3P/moU+Hdv4EK34ePWafBdX+GO94KO58GHPzuAzDjBKibG0TUIjkXxk6NGYtP1yzGRfSxZrxcpJjG6sVMaV4DeL/jPVNfO8yr8kN5cTSVnHX2KDkL2IbkdtEgzy9Mbgebk9bnVLwE78AgzRQ/bWafBu52zr15hLF9iMMrdgb80whfb3jdJnPSzl//akXkyJFIwN03QHeLd1w7G676ZWZi1qd8Erzzl/CDC6HxVehphd+9H957D0Q0XVfC62dPbh/w8cdeSbdND8uHWv/i040a0pg1DbXL0slZc7iSs8bkNCDNOwvcg8ntxWYW8XdsTC4kvRKvIrZ6mOvcjtfVsb+FwDnAC8CzwPOjiO05MpOz5cnjF4DEgK/wxIBDydff6pzbNop7jlg4/vqKiGTDml/Bq494+xaBK38AVdMGP79yMlz5Q/jh68DFYfsT8MIdcOrVExOvyARq7+5N7VeWhq9ypmYg2ZMx7yxETUH6zzuT4DjnNpvZfXgdGT8IfNP39E1AJfBd51x734NmtiT52vW+63x4oOub2XvxkrM/Ouf+fZSxndbvWn3/WM52znWM5lq5oK9/ReTI0N0K9382fXzmh2D26cO/btZyeO3H0sd/+Rx0DTdEXiR8OnxrQ4WncuZLztRGP2v8iW6o1jpTx8Z8cwNe04xbzOwuM/uimT0AfAxvOOOn+53/cvJnon0t+dMz3IkTQcmZiBwZnvg2tO319qtmwLmfGvlrz74RamZ5+x0HYdV/Zz8+kYB19PgqZyGYc1ba00hl1x4A4pESmqvmBxxR4WiuWkA8UgJAVeduSnqaAo5oZDLWOtNC1IFzzm0GTgNuA04HbgQWALcAZzrnDgUXXZpz7hPOuX92zvUOf3buKTkTkcLX2QSrv5U+vvAzUFo1+Pn9lVTARZ9LH6/+H+hoyFZ0Inmh3V85C0G3xjr/fLPqxbhIcYDRFBYXKaapOt3HISwt9bUQdf5xzu1wzl3rnJvpnCtxzs1xzn3EOXfY/4k658w5N6L1D5xztyXPH9WQxjDI/7++IiLj9dT30kMRJx8LJ7599Nc4/gp45L/g4AavOcjqb8MFBff/CXIE6+gOV+Uss1OjmoFkW0PNMiY3rwW83/XeqWcFHNHwMoY1qnImI2RmV4z1tc6532YzFlByJiKFLtYFT343fXzOP0N0DH/6IlE471Nw53Xe8dM/gNd+3KuqiYRcwrnQzTlTM5DcaqhdCju8/bA0BSlT5UzG5k6GWQx7EI4c5FIa1igihW3Nr7x5YuDNGzv+rWO/1rI3w6Q53n5nI/zt5+OPTyQPdMXiqU8mZcURopERjSwKlJqB5FZGx8awDGtUQxAZOxvDT07yKCVnIlK4nIPV30kfn/6+sVXN+kSicMYN6eMnv+vdQyTkOrrDVTUr6WmmqnMXAHErprn62IAjKjzN1QuJm/dvoapzF8Wx/O9S659z1qVhjTJy1cP81AHLgI8Ce4DNwCnJ57JOyZmIFK7dz8H+dd5+cQWc+p7xX/OUd0FJspnIwQ2w85nxX1MkYO0h69Tob+/eVL2QhJqBZF0iUkxz9cLUsX/B73ylhiAyFs659mF+mp1z651zt+AlZQbcDZTmIh4lZyJSuJ6/I72/7M1QPmn81yythuPe4rvHT8Z/TZGAab6ZDMT/u60PwXpnGtYoueac2w/8OzAb+Jdc3COQ5MzMqszsJDObFcT9ReQIEOuEtXemj095V/aufcrV6f21v4We9uxdWyQA7b5OjRUhqJz550CpU2PuZMw7C0FTEK1zJhPkoeR2zF0eh5L15MzMZpnZh83sA4M8/5/AQeA5YJuZPWpm87Idh4gc4db/Md0+v24ezFmZvWsfswImJ4f79LTCS7/P3rVFAuCvnFWGYI0zfxWnofa4ACMpbP7krC4Ewxr93Rq7YnESmhMsudH3B/PoXFw8F5WzdwJfB17f/wkz+z/AJ4ES0p1OVgJ/NrOyHMQiIkeq53+a3j/5XWBZ7D5nBqe8e+B7iYSQf85ZvlfOimOtVHdsByBhRTRVLRzmFTJWTdULSSSbgtR0bKM41hpwREOLRoySIu+jrQN6ehPBBiSF6tLkNiddcnKRnL0uuc3oMW1mEeBf8f738gjwFuCfgW5gAfC+HMQiIkei5p2w5aHkgcHJ78z+PU56B1jyQ+y2x6BhS/bvITJB/N0aK/N8zlldy/rUflPVsSSiJQFGU9gS0VKaqxakjv2/+3yloY2SK2ZWYmbvAm7By2cezsV9cvEXuG+IYv/692uBGUAbcLlzrhm8Nwp8AXgz8I0cxCMiR5q1vyW1nuSC86E2B9Nbq2fAwtfBxnu943V3wdkfz/59RCZARuWsNL8rZ2oGMrEaapZS17oB8H73+ye/JuCIhlZeHKW5MwZ4TUHqAo5H8p+ZvTiC08qBY4BivJF/HcD/y0U8uaicTUtud/R7/Lzk9p6+xCzpruRWg8ZFJDte9s0BG8+i08Pxd218WfPOJLzC1K2xvnldal+LT+eePwGuU8dGKUzHj+BnAelpWS8DFzvn1uYimFz8Be6bO9b/q7dz8L7KfrDf43uT29ocxCIiR5rmXbDzaW/forD40qHPH49Fl0CkGBIx2P08NG6Dujm5u59IjnSEaJ0zf4LQWKtOjbnm74bp75KZrzSsUcbgq8M874AuvJzlaefc07kMJhfJ2QFgJjCfZOJlZhXAWcnnV/U7v28Bt5YcxCIiR5r1f0jvzzsbKupzd6/ySTD/PHjlfu/45f+Fsz6Uu/uJ5Ei7b85ZRR53ayzqbaemfRsACYvSVL0o4IgKX2PNYhJEiJCgpn0rRb0d9BZVBB3WoLQQtYyWc+6fg47BLxfDGp9Jbm/wPXY9XkVtv3NuTb/zj01u9+QgFhE50vjb2i99U+7vt8x3j5fuzv39RLIsnnB0JT/EGpkfbvNNXcvLWHI+aXPVAuJRNXrOtXi0nJaq+QAYLu+bgmQMa1TlTEbAzOYnf/JiFF8ukrNb8f6+v9PMnjaz3wNfwysJ3jrA+Wcnt/lfKxeR/NZ2ALb3FecNlrwh9/dc/Pp018adT0HL7tzfUySLOmPxvvY5lBVHiUayuOxEltX71tpq0OLTE8Y/7yzfF6MuU+VMRu8VYCNwWtCBQA6SM+fc74Hv4yVoy4E34M0/ex744gAveSde4vaXbMciIkeY9X8Al1zXZvaZUD099/esnAxzfQtcv/yHwc8VyUMd3eFZ48yfGDSqU+OE8c87y/emIGoIImPQhpe3vBB0IJCbyhnOufcBF+MtRn0LcB1whnOuzX+emS0CGvDWPftzLmIRkSOIf77Z0jdO3H2XXe6L4X8n7r4iWeD/AJv3yZmvIYU6NU4c/+8635uCqCGIjMG25LY60CiScpKcATjn/uKcu9E591Hn3G3Oud4BztnonDvPOXe+c65/630RkZHr6YBXH00fL52AIY19Fl+W3t/2BHS3Tty9Rcapy5ecleXxfLNobwc17a8CkCBCY83igCM6cjTWLMHhDXetadtCNN4ZcESDKy9Of7TtUuVMRqZvWa8J/FZ3cDlLzkREJtTWRyHe7e1PXQKTZk/cvWuOgunHe/uJGLz6yMTdW2ScOmOJ1H4+J2d1rRtSzUBaquYTj5YHHNGRo7eogpbKuQBESFDXsiHYgIagbo0yBl8GtgI3mdmKgGPJSSv9DGZ2Et7cs6lAqXPu87m+p4gcgTbdn94/9qKJv//C18G+5HqUm+6DJa+f+BhExsBfXcjnTo3+4XSNagYy4RprllKbrFzWtbzMwbqTA45oYGXq1iijtxD4KPBt4DEz+xVwL/AqMGSZ2Dn3XLaDyVlyZmaXAv8F9P8L+nnfOYuAp4FuYJ5zrj1X8YhIAXMuvdYYeInSRDv2dfDY1739TX/xYrL87Xon0icswxr9zUAa1AxkwjXULmPunnuA/J53psqZjMEzkGpaa3jNCt85gtc5cpBL5WRYo5l9CPgDsAzvTR5MbjM45zbiJWeT8bo6ioiM3qHN0LjV2y+u9Do1TrRjVkBpcomUlp1wIL/XAhLp05lROcvf2Q5qBhKsjKYgedyx0d+tsSsWxzk3xNkiKUY6V7FR/GRd1rO95DDGm/EC/jHw70Az0DLIS34NXAC8GfhltuMRkSOAv2o2/zwoKp34GKLFsOC89ELUm+6DaRp6Jfkvo3KWp90ao/FOatq2AOAwGmuWBBzRkcf/O69t20wk3k0iGsDf2mEURSIUR41Y3JFw0NOboDSPK8KSF04IOgC/XAxr/DheRe5O59y1k6yDswAAIABJREFUAGZWOcT5TyW3p+YgFhE5Evjnmy0MYL5Zn2Nf50vO7oeVHwkuFpER8jcEydc5Z5NaNhLBi7Olci69RRUBR3TkiRVX01Ixh5qObURcL5NaN9Ew6figwxpQeXGUWNxrEt4Ziys5kyE559YFHYNfLsYvnIs3BvMrIzx/Z3J7VA5iEZFC19MBWx9LHx8bwHyz1L19ieH2J6BrsAEDIvkjDHPONN8sPzTWpkcD+P+b5BstRC2DMbPPJH9y3hRxrHKRnM1IbjeO8Py+9c+KcxCLiBS67av6tdA/JrhYambCjOToiESvl6CJ5LkwdGtUp8b8kDnvLI+TMy1ELYP7HPBZoCTgOAaVi+Ssr+PiUEMZ/fo+STXmIBYRKXT+NcXmnx9cHH3mnZve3/JwcHGIjJD/w2v+Vs7SDSjUDCQ4Db7EWB0bRXIjF8nZK8ntWSM8/03J7Ys5iEVECp0/AZp3TnBxpGLwJWdajFpCoDNjWGP+dWuMxLupbducOm5Q5SwwDb5hjbWtm4gkYgFGM7hyrXUmIZaLv8J/wOvU+G9mNmQbHzNbCNyIN0ft7hzEIiKFrLMR9vzN27cIzF0ZbDwAc86ESHIo+7410H4w2HhEhuCcy/s5Z3WtG4k4bwZES8UceourAo7oyBUrrqWt/GgAoq6X2tZNAUc0MP+/4y5VziRkcpGc3QIcAk4EnjCz1/S/j5mVmtk1wGNALV5TkB/mIBYRKWRbHye1buRRp0BZbaDhAFBaDUcvTx9vfTS4WESG0dduHKAoYhRH869yVucf0qhmIIHz/zfI1/XONKxRwizrf4Wdc83AFUAXcDKwGtje97yZPQc0ALcCU4E24ErnXHe2YxGRAucfNpgPQxr7aGijhERnyJqBaL5Z8DKaguTpvDN1a5QRyNvVyXPSRtI596iZrQC+B5yJVx0Db7jjyb5TnwSud87l5/+6RSS/5W1ydg488mVvX01BJI/l+5BGyOwK6G/lLsHwJ2d1Yaicac6ZDOwlMxtvguaccwuyEo1Pznr8Jxd0W2lmpwIXAIvxkrR2YAtwv3Nuda7uLyIFrm0/HEh+MIgUwzFnBBuP36zXQFEZ9HZBw2Zo3gm1s4KOSuQwXXnfDKQnY16TmoEEz58g17VuwBIxXCS/VkPSsEYZgTlZuEZOqm85X4DNOfcc8Fyu7yMiRxh/1eyYFVBSEVws/RWXwewzYMtD3vGrj8DJVwUakshAMoY1luRf5ay2bRPRZDOQ1opjiBXXBByRdJfU0V42k8quPUQTPdS2baGpZnHQYWVQt0YZgceAvPzHkberY4uIDOnVPGuh39+8c3zJ2aNKziQv5fuwxsz1zVQ1yxcNtUup7NoDeMNO8y05K8uonCUCjETy2CXOuY6ggxhI/o1hEBEZiW2r0vtzzw4ujsH4Y9q+avDzRALk/+Cajw1B/A0nGpWc5Y18n3emhiASZuOqnJnZe7IVCIBz7vZsXk9EClTbfjiUXO8+WvL/s3fn8ZGc1b3/P6e1SyNptMw+4/GMZ8b7Ol6wDTbG2DgmELBD+AXjGAgBAgQC/MJicgP2fZFckrCZwIWbAL4O+5IAIYANxhjvxvt4H3t2za5dGq3dz/2jSupqjZaWuquruvv7fr306qru6qqjUY/Up5/znCezdX1crDgDKutgfAi6d0DfXmhaGXVUIhliP3LW+9TkdmfzyRFGIkHBRDmOHRuDHzQMjyZxzmFmEUYkkr1cyxpvJn+T4RyQc3JmZquBG4ErgDZgH/Bj4AbnXHeW57jMf/4ZwJlAC3CPc+6lszxntn+HB5xzMepWIFLkdt2X3l612ZvjFTeV1bD67PQ6ZzvvhVP/ONqYRKYIzseJ28hZIjXG4kAzkG610Y+N4FpnLX3PYS6Js/i8fqoqElQmjPGUI+kcY0lHdaWSMykO+Zhzlq9Xe87nMbPjgHuBpcBPgGeBc4H3A1eY2YXOuc4sTvUe4I/w1mp7AS85y8ZOvIR1qj1ZPl9EshEsaTzm/OjimMvaC5ScSazFeeSsuX8rFW4MgIG6VYxWx2CReQFguKadIzVLqR85SGVqmKaB7fQ2bog6rAx1VRX0j3jNZIbGklRXaiaPFIeckjPnXNxe6V/GS8ze55z74sSdZvZZ4APAp4B3ZXGeTwMfx0vu1gDbs7z+DufcJ+cTsIgsQDA5W3thdHHMZe0F6e3gaJ9ITAzFuJV+cH2z4EiNxENX80nUHzwIePPO4pac1VZnJmfNdfFq9y8yk3j9Js6Bma0HLgd2AF+a8vAn8NZXu9bMGuY6l3PuPufcU845zSIViZvhXjjwpLdtCa+NflytPgcS/mdgB5+GI13RxiMyRXDkLG5ljcG5TJ1Nmm8WN3Gfd1YbGCkbUVMQSbvR/xqNOpCZlExyhrfQNcBtzrmMvqnOuX7gHqAeCHPu12Ize5uZXW9m7zEzzTMTybfdD8LEf/Flp0BtjNc9qm7wGoNM0OiZxMxwoFtj3Moag81ANHIWP8GOjcFRzrgIvp6H1U5ffM65TzrnbnDOX0Axhgq2zpmZNQKLgAE/Wcq3iUU2np/h8a14I2ubgNtDuD7A6cDXgneY2ePAtc65LdmcwMwenuGhGHY8EIlAsZQ0Tlh7PnQ85G3vvBdOeHW08YgEDMV05EzNQOKvqzk9ctbS96z3oZnF5zP/jORsXCNnUjxC/V9kZleb2X+ZWSfQg9cYo8fMOv37r8rj5SZmCvfO8PjE/YvzeM2gzwIXAkuARuAc4Id4CdtvzGxVSNcVKS/B0ae1MW4GMiGYQO7UemcSLxkNQarjk5ypGUj8DdUsZai6DYCq5BEaB3dGHFGmmkBZ47DKGqWIhDJyZmbL8BKTidnwUzsxtgBXAlea2T3AG5xzB8KIJRiWf5uv1v8ZnHMfmnLXQ8AbzOyHwNXA/4/XlGSu80y7YJOZDeKVZYqUr7Fh6AgMLse5U+OENeelt/c9DqODXrmjSMScc5nJWYy62akZSBEwo7v5ROoO3Q14P7P+ResiDiotOHI2orJGKSJ5/03sN9y4Ey8xM7wGHV8A/hK41r/9gn+/4Y02/dbMck08JkbGZvp4rWnKcYXyFf/2ogJfV6T07HsMkv4c3rYNsGhptPFko74VlvjlPy4JHY9EG4+IbzSZIuV/XFlVYVRWxCg5UzOQopA57+yZCCM5WrD7qEbOpJiE8Zv4I3jzulLAB4ENzrkPOOe+6pz7ln/7AWAD3miS84//SI7Xfc6/3TTD4xv925nmpIXlkH+rj8pFcrX7wfR2cEQq7tack97e/UB0cYgEBJskxGm+GagZSLEI/mzi1rFRc86kWIWRnL0BL+H6J+fc551z05YROs9ngX/CG0H7kxyve4d/e7lZ5oxUvxnJhcAQcH+O15mviY6N2wp8XZHSE0xsVp8z83FxszrQ7n/P76OLQyRgKKYLUKsZSPEIjpy19D2T7qQbA7WV6tYoxSmM5Gytf/uNLI//+pTnLYhz7kXgNuBY4D1THr4Bb+TqFufc4MSdZnaCmZ2Qy3X985w13fppZnYa3sLXAN/M9ToiZc25zMQmzuubTRUc5dv9oPe9iERsaDSeyZmagRSPI7XLGa5qAaB6fIBFR/ZEHFGayhqlWIXREKQPr2NhZ5bHTxzXl4drvxu4F7jJzC4FngHOAy7BK2f8+JTjJwqkMxqWmNlLgbf7u4v8241mdvPEMc65twSe8j7gKjP7DbAbGAFOAK4AKoB/Bb6Tw/clIj27YMDvG1TTBEty/lylcNo2QO1iGO6BoS7ofBHaN0QdlZS5uC5AHWwG0tms+Wax5jcFWXHY60Tb2vc0Aw3HRByUp0brnEmRCmPkbOKj7VOzPP60Kc9bMH/07GzgZryk7EPAccBNwPnOuWwTxg3Adf7X1f59SwP3XTfl+B8DvwZO8R97H7AZ+AXwR865d8xU3ikiWQrON1u1GRLxeTM5p0Qic6Rvz4MzHytSIBmdGqvi2QykSyWNsZfRFCRG884yujVqzllkzGy1mX3dzPaa2YiZ7TCzz5tZyzzO8Tdm9nP/uQNm1mdmW8zss2a2Osz4oxDGyNlngD8APmVmlzrnRmY60Myq8cr+HN46YTlzzu0G3prlsVNb/E/cfzNegpftNX+Ml6CJSFiCCU0xlTROWH0ubL3N2979AJzxpmjjkbIX1zlnagZSXLqagotRx6djY63WOYucmR2HV9G2FPgJ8CxwLvB+4AozuzDLgZN3AgN43eAPAFXAmXhLVP25mb3cOfdoljHlsweEc84dl8fzASEkZ86535rZXwGfB+4ys48BvwmOHJmZAZcC/4A3wvZe59wd055QRASmdGoswuQsGPNuNQWR6MWxrFHNQIpPRsfGvqe9ObU27WffBVWrssY4+DJeYvY+59wXJ+40s8/iJVafAt6VxXlOcc4NT73TzP4C+D/+ea7MMqZjszjGcfQazdPdH0pVXN6TM3/eFXgt5M/Ga9IxYGZbgUG8xhwbSc/l2ou3WPMbZjilc85dmu84RaSIjA7C/i3p/VVnRxfLQq3aDJbwupkdfBqG+6C2ae7niYQk+IY1LiNnagZSfAbrVjFS1UTNWB81Y300DO1lsH5V1GEdVdbonMNikDSWCzNbD1yOt67xl6Y8/AngHcC1ZvahYLO+6UyXmPm+j5ecbZzh8encMMtj1+ElbyN4o3TP4o3YLcLrJXExUAtsB26ZxzXnJYyyxpeTmVka0AicNcPxq/yvmWiulki52/uot4AzeI1A6hZHG89C1CyCpSfDgS2Ag46H4LhXRB2VlLGhGI6cqRlIETKju+lElnd6S5209j0di+SsImFUVRhjSUfKeYuu11TG43VeJib+wN3mXOYaC865fjO7By95ewlw+wKv8Rr/9olsn+CcmzY5M7Nv4SVm/wZ82DnXM80xi4F/xGsauMk5d818A85GGMnZLSihEpF8CpY0FtP6ZlOtOddPzvBKG5WcSYQyGoJUx+NNa8Z8M5U0Fo2uppMmk7OWvmfYvfyyiCPy1FZWMJYcB7yRYiVn81ZrZg9P94BzbvMczz3ev31+hse34iVnm8gyOTOztwOr8UayTgVeCewEPprN82c579uAP8VbcusdMx3nJ2zvMLNa4Bozu8M592+5XHs6Ycw5e0u+zykiZS5jvtl5Mx8Xd2vOhYe+5m2rY6NEbCiG3RozOjWqGUjRyJh3FqOOjTVVFfSPTCRnSZrrqiKOqKxM1CT3zvD4xP3zKYV5O1439gm/B97knHthnrFNd14HfC7L4z8DvBn4c7yRtrwKY+RMRCR/nCv+To0TpjYFSaW8NvsiEYhbQxA1Ayle3YGOja19z8SoKUj69+vIuJqCLMBwFiNkCzXxAsm62s459xIAM2vDmy71KeBhM3ujc+6XOcQy8QLeleXxE8eFsuCq3hWISLx1bYMjfqfd2mZom8+835hpWQf17d72SC8cnqnaQyR8Q6PxSs6CzUD661arGUgR6a9fw2il1+etdrSL+uEDEUfkqa0MdmxUO/0CmxgZm+k/ctOU47LmnOt0zv0KryxyCLjFzOrmH+KkiRdKtm3xJ44L5RenkjMRibeM+WbnFvdIk9mU0bMHootFyl7cujUGm4GopLHIWILupvQgQktfPEoba6q01lmEnvNvN83w+MQnrQv+lNKfA3YfsATIpYPQxAv2I1ke/zH/9qlZj1qg0N7lmFmrmb3DzP7NzH5mZreb2W9m+VpopxYRKWWlUtI4Ifg9aN6ZRCTlXGZDkDgkZ2oGUtSCP7O4zDvLaKevtc4KbWL94svNLCPfMLNG4EK8Ua/7c7zORGvQ8RzO8TW8MsurzOz7ZrZmuoPMbI2ZfR94PV45Zt7nm0FIc878biqfxVvTDKZfyG0qdXgUkaPtCSzYXMydGiesDiRnHY9EF4eUtdHx1OQf3eqKBBWJ6OcHqRlIccucdxaT5KwyMHI2rpGzQnLOvWhmt+GVHr4H+GLg4RvwcoSvBtc4M7MT/Oc+G7hvLVDhnNs29Rpm9k7gHGA3sGXq4/OI9V/N7A/xWvNfjZekPYa3ztnEGs0nAGeQzml+6pz72kKvOZswFqF+Pd6CcAAp4FHgRbzsWEQke6NH4EDgj/yqmZZLLCIrTg8sRv0MjPRDTWPUUUmZGY5Zp0Y1Ayl+wXXpWnufikVTkODImcoaI/Fu4F7gJjO7FHgGr9viJXjljB+fcvwz/m3whXMm8B9mdq//nANAG976aKfiLRJ9rXMu1x/w1cA/AH+NN5fsLP/aEyZiSuJ1dbw+x+vNKIyRs7/xb58CrnLObZ3tYBGRGe3fkl58un2T1xCk2NUsgiUnwsGnAAd7H4N1L4s6KikzQzEraVQzkOLX37CW0cpFVI8PUDfaRf3wfo7UrYg0pszkTGWNheaPnp0N3AhcAVwJ7ANuAm5wznVlcZpH8JKhlwGvBlqBYWAbXkv7Lzjnduch1nHgb8zs88A1wAV4i1I34I2e7cBLNL/lnOvI9XqzCSM5Ow2vRPEvlZiJSE46Amtfrgqrm28EVp3lJ2d436OSMymw4BvVOHRqVDOQEmAJuppPnlyMuq33yRgkZ2oIEjU/cXprlsceNdTqnNsFfCjfcc0SQwfwj4W63nTCqGWYKF98MoRzi0g5KdXkbPXZ6e3g9yhSIGoGImHILG2M/m1gTbCVvtY5kyIRRnI28Rt2eQjnFpFyEkxcVpbAfLMJwURTTUEkAsGyxrrq6JOztmByppGzotXVfMrkdltP9MmZ5pxJMQqjrPHLwEXAdaTXARARmZ8jXdC93dtOVMHyU2Y/vpgsOREq62B8CPr2QP9+aNTnWVI4cWoIUpEczmgG0tWcy3JFEqXOQHLW2ve01/jIont9BV/bI0rOJAt+x8hzgGVAHXN0nHfO3ZjvGPKenDnnvm9ml+FNqtvtnPtyvq8hImVgb2BEafmpUFkTXSz5VlEJK8+AXfd5+x2PwAlXRhuTlJU4NQRp6XuWhPOWKOptOJaxqqZI45GFO1K7nKHqVupGu6geH6BpcAd9i9ZHFk/GyJnKGmUWZnYG8FXg7LmOnSL+yRmAc+4vzGwL8Dkz+yBwO7Afr/3kbM/L+zcoIkUqWO5XSvPNJqzaHEjOHlJyJgU1PBooa4w4OcuYb9ZcQiPk5ciMruZTWHXod4D3s41NcqaRM5mBP1p2J7CI9EjZIeBIFPGEtQj16cAbgSpgHfD2LJ+q5ExEPBnNQEpovtmEjHlnagoihTUUo26Nbb3ptWM7lZwVvc5ActbW+yQ7Vr0mslgyFqEeS+Kcm+VoKWN/BzTiJWMfAb7pnOuNKpgwFqE+EfgtEKxLOIQWoRaRbDlXup0aJ2QkZ49CKgWJ6BcDlvIQp26NwWYgnYtPjTASyYfOxYGmIBF3bKysSFCZMMZTjpSDsaSSM5nWJXjLgH3AOfevUQcTxsjZjUAz0At8EPiBc24ghOuISKnq3QODh7zt6kZo2xhtPGFYfAzUt8ORwzDSC10vQnsJfp8SS3GZc1Y11kvT4A4AUlZJd+PxkcUi+REsTW3pexZLjeESVZHFU1OZYNwv4x0eV2mjTKvFv/1ppFH4wviY9qWkF6H+hhIzEZm3jFGzM0tzRMlMpY0SmeDIWZRljcFRs+7GTaQqSqjxT5kaqW5hoG4VABWp0YxOnFHQvDPJwl7/NhZDq2G842n0b38VwrlFpByU6vpmUyk5k4jEpZW+moGUpuBi1FGXNgaTs5ExdWyUaf3Mv31ppFH4wviNvM2/rQvh3CJSDkq9U+MEJWcSkaG4jJz1BJqBLFZyViqCiXYwAY9CTeDDB5U1ygz+F3AY+JSZLY46mDCSs+/htaH8wxDOLSKlLpWEfY+l90s6OQuMCu7fAuMj0cUiZSPlXMYIQk1Myho7m9UMpFQEu25GPnJWGSxr1MiZHM05txd4JVANPGpmbzGzlWY26wLUYQkjOftn4DG87LOE65FEJBSHn4dRf6rqouXQtDLaeMJU3wqt/hpAyVHYH+2bGCkPo+OpyYkV1RUJKhKRvP+gbvgA9SMHARirqKNv0bpI4pD862o+CecvF9U88CIVyegadmeWNWrkTI5mZkm83OVY4Bjga8BuYNzMkrN8jYcRTxjdGs8DPgl8HrjXzL6NN/8sm0WofxdCPCJSTKaubxbNB1eFs2ozdPnV4B0Pw+oSHimUWMgoaayOsqQx/WFEV/PJOIu2pb/kz3hlA30N62ge3EbCJWnpe5bDLWdGEktwTqUagsgMYvVGI4zk7Leku50YcJ3/NRcXUjwiUkxKffHpqVZthi0/8LY170wKIPgGtaYyumYgwXI3LT5dejoXn0LzoPfBU1vPlgiTs0BZ47jKGmVab406gKCwkiGbYVtEZHbl0gxkgpqCSIEF591E20Y/0AxEyVnJ6Ww+hfUd3rJRUc47q63UyJnMzjn3f6OOISiM5ExF4yKyMGPDcCDwR3xlNJ+0FtTy0yBRCalx6NwKQz1QF3mzKClhw3FYgNqlaO19enJXbfRLT1dGU5DoOjZmrnOmkTOJv7wnZ865nfk+p4iUif1bvCQFoG0D1LVEG08hVNXCslPSHSr3PgrHXRJtTFLS4rDGWePgTqrH+714qlsZrCvhxj9lqrvxeJJWSYUbp/HILqrGehmrai54HDVahFqKTHTF5iIiU5XL4tNTZZQ2PhRdHFIWhmIwcnbUfLNSb/xThlIV1fQ0bprcj2r0rFbrnEmRUQMOEYmPvWU232zCqs3w0Ne87Y5Ho41FSl4cyhrVDKQ8dDWfQlufV77a2vsU+9svKHgMwXXORlTWKNMws20LfKpzzh2X12AoUHJmZg1A81zXc87tKkQ8IhJTGZ0ayyw5m9DxEDinkQQJTRwaggTb6HcuVnJWqjoXn8LG3d8HoL3niUhiqFVZo8zt2AU+z819yPyFlpyZ2RnAB4FLgeVZPEWt9EXK2VA3dL7gbScqYfmp0cZTSO0boboRRvth4AD07YXmVVFHJSUq6pGzRGqMlv5nJ/fVDKR0HW4+bXK7rWdLJB88aZ0zycINczxeCazAy2nWAi8C3wwrmFCSITN7J/BFoAK10heRbOwNlPMtO9lrlFEuEhWw8gzYcZe33/GwkjMJTdQNQZr7n6ciNQrAQN0qRqrLoPFPmepbtI7RykVUjw9QN9pJ/fA+jhS4+UtNpdY5k9k55+ZKzgAwMwP+GvhnoNU59/4w4sn7b2V/xOxf8BK/7wKv9h9y/vbrgf8BTMwMfdq//xX5jkVEiki5rW82VXDB7eDcO5E8C5Y1RjFyllnSWEYj5OXIEhlzCqMobayqMBL+MEEy5TR6JgvmPJ8DbgLea2ZXhXGdMD4yex/eiNkvnHPXOOd+EXjsTufcT5xzn3LOnQp8DDjJv707hFhEpFiUfXKmxailMILdGqOYc6bFp8tL5+J0aWN7z+MFv76ZZXwI0T88XvAYpOR8Da8y8L1hnDyM5OwivFGyL851oHPu08D/Bi4kpG9QRIqAc5kt5Ms+OXsUUiq/kXAERw5qIihrDL5BPxx44y6l6XBGchZ9U5D+4bFIYpCSsse/PSOMk4fxW3mFf/tM4L6JbibTTSL5Cl72+aYQYhGRYtC312uEAVDVAO2bZj++FDWtgoal3vZoP3RujTYeKVnDEY6cVY/20jy4A4CUVdLddGJBry+F19mcLl1t6XuWRHK04DHUVqbf7mrkTPLgWP+2OoyTh5GcTZyzP3DfgH+7bJrj9/q3G0OIRUSKQXCO1cozvQYZ5cZMpY0SOudcpHPOgiWN3U0nkKwoo8Y/ZWqkppX++jUAVKRGael/ruAx1KisUfLEzKqAf/B3Q3kxh9GtcR9em8nlQJd/33bgVGAzmSNqABOLt+k3tEi5yljf7KyZjyt1qzbD8/403Y5H4AwVFEh+jYynSDqvmKUiYVQmCttQWSWN5amz+VQaj+wGoK3niYI3ggl+CDEworJGyWRmf5bFYXV4A0lXA8fgVQV+PYx4wkjOHsZLztbgdWIEr9nHacD7zez7zrlRADOrBD7pH/NiCLGISDEo18Wnpwompho5kxD0DaXfmNZWVWAFXnMqOOdIyVn5OLz4NI7d93PAS9Cf55qCXj9Y1tinkTM52s1kv6D0xC/NbwNfDiOYMMoaf4YX+B8E7vsqkATOAp4ys8+Y2eeBJ4BX4f2D/HsIsYhI3KVSsPex9H45J2crz0xv798C4yPRxSIlKfjGNPiGtSBcyluI2Hd48emFvb5EJvizDr4GCkXdGiULNsfXCLAT+AHwh865Nzvnsk3o5iWMkbOfAY8D6yfucM5tMbOP4C3adhzeAm6Qzj5/CXwmhFhEJO46X4CRPm+7YQk0r442nijVt0LreujaBqkx2P8krC7jZFXyri/Qqa6uurDzzZoGtlM97k1HH6puZbBOC62Xi56m40kmqqlIjdI4tIeakU5GatoKdv3gYuvq1ihTOecK37Z2FnkPxjnX6Zw70zn32in3fxZ4GfAt4ElgK3Ar8Ha8DFSrAoqUo6kljQUus4qd4MihFqOWPJta1lhIwZLGzsWn6f96GUklqugKdOZsL/DomUbOpJgUNFN0zt3jnLvWOXe6c+4E59wfOOe+7pzTgj4i5UrzzTKpY6OEqD/CssbMZiAqaSw3wcWo23oLu95ZbaXWOZPiEUZZ46zMrBGoBw5rtExE1KlxipVqCiLhCZY1Fn7kTMlZOYtyMeqaKq1zJvNjZpvwujI24i0PttM5V5AFSAvysZl5PmhmLwA9eGubDZrZL8zsvELEICIxND4CB55M769UcsaK08D8N82Hn4fh3mjjkZKSMXJWwOSscmyA5gGvKXOKBJ3NJxfs2hIPweSsredJrICfz6usUbJhZo1m9vdmth9v6a9bgR/6t8+a2X4z+5Q/0BSanJIzMzvJzJJmNm5mF81wjOF1NvknYB3prifVwOXAXWb2+lziEJEideBJSI562y3rvIYY5a6qDpYF3rgGO1kUX1E+AAAgAElEQVSK5CiqOWdtvVswv1N1T+MmkpX1Bbu2xMOR2hUM1bQDUJUcpGmgcCsoBUt4VdYo0zGz4/G6yH8EWMr0HRuXAh8FHjezjWHFkuvI2cV4wT7lnPvdDMe8E7iKdGfG/wb+EW99gBG80sqvmVnh2vaISDx0BBpeaL5ZmuadSUgyujVWFW7O2VHNQKT8mEVW2lijkTOZhZk14I2OrcXLV34KXIu3BNhG4EzgzcCP/cePBW41s1A+ZcpHcubwRsZm8mH/Ngm83jn3GufcR51zbwYuwKvjbAbekmMsIlJs1AxkelqMWkISVVljxuLTLZpvVq4OLz5jcntJ96MFu27wta5FqGUaf4U3v+wI8Grn3Oucc99yzj3mnHvROfe4c+7bzrmr8NZxPoKXyL03jGByTc42+bfTjpqZ2dl42aUDfuCc+2nwcefcY8AX8LLQy3OMRUSKTcbImeabTcoYOVM7fcmfSMoanaMtmJxp5KxsHWo5c3J7SXfhSra1zpnM4fV4ucoNzrlfzHagc+5W4Aa83OXqMILJNTlb5t8+P8PjwXlo357hmJ/4tyflGIuIFJPhXq/hBXgNMJbrDdukJSdAVYO33b8X+vZFG4+UjL4IRs4aj+yidqwHgJGqZvrr1xbkuhI/XU0nkrQqwH9djBwuyHWrKxIk/Mk1I+MpRsbVLFwyTAw2zVYJGDRx3KZZj1qgXJOzdv92dIbHzw1s3zXDMTv8W3UCECknex8Dv0EAy06CajUImJSogJXp8h8tRi350p/RSr8wc87aA+Vrh7X4dFlLVdTQFejUGVxeIUxmpo6NMpta/7Y/y+MnjqsJIZack7Mj/u3qGR6fSM62Oedm6gftvzsr/JprIhKh4FwqtdA/2sp0+Y/mnUm+9A2l35TWFWjkLFi+dqhF/9fLXbC0sb2gpY2BeWdDKm2UDPv92zNnPSpt4hfZ/lmPWqBck7Pt/u1RbfTNbAPp+Wb3zHKOidLInhxjEZFisledGmeljo0Sgv4IFqFe0p3+v36o5YxZjpRyEGwIU8imIHVqCiIzuxNvDtmnzKx2tgPNrAb4n3j5zZ1hBJNrcnYH3jfzQTNrmvLYBwLbP5vlHBPvQLblGIuIFBO10Z9d8N9k76OQSkUXi5SE8WSKwVFvro0B1ZXhlzXWjHbTPOh9jpu0SrqaTwn9mhJvhwIdG1t7nyaRHCnIdYNlvBo5kym+gJdsnQ3cbWaXTHeQf//deJWBDrgpjGBy/c38FWAMr53kI2b2UTN7t5n9CHgXXuB7STf9mM6V/nGaVCFSLvr2QV+Ht11V7zXAkEyLj4F6f1rvcC906fMryU1wnk1NVYJEAeZ+BcvWuptPIlkx64fSUgZGatro85vCVLgxWvueLsh1M9vpKzmTNOfco8Df4n1udSbwazPrNLN7zOxW/7YT+DXpQaWP+8/Lu5ySM+fcVryVsg1YB3wK+CLwOtKLTv+1c27a/wVm1uIfC/DbXGIRkSISLGlccTpUaMrpUcy03pnkVRRrnAXL1g5qvpn4oihtrFNDEJmFc+4f8NZc7sTLYVqA84HL/NsW//5DwJ855z4dViw51zQ45z4H/BmwGy/oia8O4E3OuR/N8vQP4nVIGQVmXVdAREqIShqzo3lnkkfB0YLCNQMJdGrUfDPxRdEURA1BZC7OuVvwmhz+CV7J4k+A2/3bLwBvANY4574ZZhx5+bjaD/KbZrYRr71+l3PuuSye+g3gu8CIc24gH7GISBEIJhpafHpmGfPOVPktuekrcDOQRHKE1t6nJvcPLc62EZqUuuBrYUnP4+Bc6EssqKxRsuGcGwV+6H9FIq+zgZ1zW51z92WZmOGc2+ace8o590K+YjCz1Wb2dTPba2YjZrbDzD7vl1Bme47LzOwzZna7mXWZmTOzu7N43klm9n0zO2hmw2b2nJndYGZ1uX1XIiUklVKnxmwFlxjY9wSMz7SkpMjcgm30awvQDKSt9ykq/FkNfQ3HMlKj5UzF07doHSNVXh+52tEuGo/sDP2adRkNQVTWKGlm9oiZPWxmr4o6FshzchY1MzsOeBh4K/Ag8Dm8LpDvB+4zs7YsT/UevJLLC/DKM7O59nnA7/Hm0P0ab/izD/g74Fd+600R6drmNbgAqGuFxWujjSfOGtrS/z7JETj41OzHi8yi0CNnwcWngx36RLAEhxcXdt6ZRs5kFicDZwBPRh0IlFhyBnwZWAq8zzn3OufcR51zr8BL0o7Ha1iSjU8DpwCLgNfMdbCZVeCVaNYDf+yce5Nz7iPAecCPgAvJXFpApHxNHTUrQMe4oqZ5Z5InGQ1BqsNPzpYGkzM1A5EpMuedPR769TTnLBq5VrSZWYOZXWNm3zazZ81s0Mz6zewhM/uQmVXnIcyJxaQLs67DHEomOTOz9cDlwA7gS1Me/gQwCFxrZg1zncsvzXzKOZfM8vIXAycCv3PO/TRwnhTwYX/3XWZ6FyqSOd9MJY1zykjOCrdgq5Se4BvS2sqQkzOXor0n3ehBi0/LVIcDo6mFHzlTWWMh5Kmi7WXAN4FX4Y1sfRH4DrAK+GfgjrkWjs7CxGLS5+Z4nrwomeQMeIV/e5ufFE1yzvUD9+CNbL0kxGv/cuoDzrltwPN4a8GtD+HaIsVFydn8aORM8iSzW2O4f/6bBrZTM+aVLw9XtdDfcGyo15Pi07n4FFLm9aVrHtxGzWh3qNer08hZFPJR0bYfeDOwwjn3x/453gFswlsj+QK86Ui5+Axe5/gbzaw+x3PlrJSSs+P92+dneHyrf7spztf2JyQe9YW35IBIcRsf9RpbTFCnxrmtOA3M/1V96FkY6Y82HilahVznbElPsKTxDJUvy1GSFXV0Np88ub+kK9yOtLXBhiCacxa6fFW0Oecec859y++iGLy/Hy+pAnh5LrE65x4HrsF7n36/mb0uyiStlJKzZv+2d4bHJ+5fXGLXFikeB5/2GlsALD4GGtqjjacYVDfA0pP8HQd7C7MmkJSejLLGsJMzzTeTLBxsTVcGLO1+KNRrZY6cqayxAApR0TbxSy2nH6iZbcMrkUziNQf5EdBnZvvMbNssXy/mct2Z5GWdsyIx8bGdi/O1nXPT1nmZ2SDei1ikeKmkcWFWnQUH/CZSex+BdS+LNh4pSgUdOQuMgmjxaZnJoZbNwNcBWNoVbtl2dWUCw3sjNjSWZHQ8RXUBlpQocrV+9dZRZnq/GpBNVdnleKNVty8sPN7m3x41rWiejp3mPgOWzfG8UHKKUkrOJkanmmd4vGnKcaVybZHi0aH1zRZk1WZ45BZvW/POZIEyW+mH96a0bmg/jUN7ABhP1NIVKF0TCTrUciYpEiRI0dL3LFVj/YxVNYZyLTOjtqqCoTGv11v/8Bhti7TKUYhCrSozs/cCVwCPMZHhL9wNOT4/r0opOZtY+HqmeV0b/duZMvhivbZI8QgmFitV6pS1jKYg4c7LkNKV2RAkvJGzZV3p8rTDLaeTSlSFdi0pbmNVjfQ0HU9r3zMYjiXdj7J36UWhXa+uOp2c9Q2PKzmb23AWI2QLteCKNjO7Cvg8XrOQq51zOU0idM7FKjkrpfHcO/zby80s4/sys0a8tcaGgPtDuPZv/Nsrpj7gT4jcBOzEax8qUp5G+r2GFuA1uFhx+uzHS9qSE6Gyztvu3Q0DB6ONR4pSocoalwaSs4OtZ4d2HSkNwddI8LUThoymIOrYGLZQqsrM7HXAd4GDwMv9ruglpWSSM+fci8BteHWjU1tq3gA0ALc45wYn7jSzE8zshDxc/k7gGeAiM3tt4PwJvAWtAb7inItivptIPOx9jMkPyJacADWLIg2nqFRUZiazGj2TeXLOFawhSPAN9gElZzKHzKYg4ZZtZ651puQsZHmvKjOzNwA/AA4AFzvnnpvjKUWplMoaAd4N3AvcZGaX4iVM5wGX4P3wPz7l+Gf824wev2b2UuDt/u7EO8iNZnbzxDHOubcEtpNm9la8EbQfmtkPgV3ApcDZeB1pPpfj9yZS3PY8mN5efU50cRSrVZthtz/w3/EwHH/UQL3IjAZHk6T8z0aqKoyKRDit7euGD9J0ZCcAyUQ1nc2nhnIdKR0HW9LJWWvv01SMHyFZGU7/M3VsLKiMirZgx8aFVLSZ2ZuAW4AO4JJSHDGbUDIjZzA5enY2cDNeUvYh4DjgJuB851xnlqfaAFznf13t37c0cN9101z7AeAc4Cd43Wc+gDeUeyNwmXNuZEHflEip2BMoV1FyNn/BNeHUFETmqX+48KNmhxefTqpCc3pkdqPVi+lZtAGAhBunvefx0K6lkbPCyWdFm5ldB/w73sDHRbkmZmZ2hpnd6H9dOM3jDWaWnOVrzMxCKwsotZEznHO7gbdmeey0Hx06527GS/Dme+2ngTfM93kiJc852PP79L6Ss/mbmpw5p4V9JWvBUQLNN5O4Odh6NosHXgC8lvoH2s8P5TqZI2dKzgog54o2M7sErxtjAm807q129N++Hufc5+cR15fw1ld7EviHGY6Z7Q9sBV5FXCjr2pRcciYiMdS9AwYPeds1zdA+Uwm6zKhlHdS1wFA3DPdA1zZoOy7qqKRI9BeoU6Pmm8lCHGzdzKZd3wXCbQqS0RBEI2ehc8696I8w3YjXNO9KYB9eRdsNzrmuLE6zlnSl39tmOGYnXvfGOZnZmcD5eJPg3+mcG5rlcAdcP8391wMXmNlpzrknsrnufCg5E5HwZZQ0boZESVVUF4aZN+/shV97+x0PKzmTrBVijbPakcM0D24HIGlVdC4+LZTrSOkJjrK2924hkRwJpSS2VnPOCi7XiraFVrPN4o/929ucc3POd3POfXrqfWa2Ee97eiOQ9+RM75BEJHwZJY3nRhdHsVsVGInY/eDMx4lMUYiyxuCIR+fiU0lW1IZyHSk9wzXt9DUcC0BFapS23idDuU6d5pyJV1bpgB/lcI7v4ZU9viQvEU2h5ExEwqdOjfmxJpDY7lFyJtkrREMQzTeTXAS7NoZV2lirOWcCJ/q39+VwDn/R1hmXCciJkjMRCdfYEOzfkt5fvXnmY2V2q89mco7y/idhdHDWw0Um9AUXoK4MKzlLdxE90KoPYWR+guudLev6/SxHLlxmt0aVNZapFv92/yzHjAHf9r+mM7FwdssMj+dEyZmIhGvf45Dy/wi2b/KaWsjC1DZ7C3gDuKQWo5as9WU0BMn/n/6aka7JbntJq+Rwy+lzPEMk04G28ya3l3Q/SkVyOO/XCJY19qussVz5Kz5SNeMBzo06597snLt2hkMmFuILpWWykjMRCddulTTmlUobZQEy5pxV53/kbGl3etSsq/kUkhV1eb+GlLah2qX0NqwDvHln7d2P5f0aGd0a1RCkXB32b1fmcI7V/m226yfPi5IzEQlXRjMQzUPJWTA52x1O6Y+UnoxujSGUNS7rTH9QoPlmslAH2tK/35Z3PpD386shiOCtrwZwcQ7neLl/uzW3UKan5ExEwnPU4tPq1Jiz1VNGzpyb+VgRX/9wuN0al3WmO1LvD5SniczH/rZ087tgwp8v1ZUJEn4h2pHRJGPJVN6vIbF3O1454rvNbN6/DM2sEvhLvPLIX+c5NkDJmYiEqa8D+vd521UNsPTE2Y+XubVtgNrF3vaRTm8xapE5BDvT5Xuds/qh/TQP7gBgPFHDoZYz83p+KR8HW8/B+dN4WnufpGqsP6/nNzOa6tJTjfrVFKQcfQsYBdYDn1vA8z8HrPPP8e95jGuSkjMRCU9w1GzVWZAIp0tcWUkkppQ2at6ZzK0vxFb6wVGzQy1nhrJ4sJSH0epmupq8D/ESpEJpqd9Um07O1E6//PiLYn8Jb/TsPWb2fTObc/6Zma00sx8A78YbNfuyc25PGDEqOROR8ATnRK1RSWPeTC1tFJlDsPlBXZ6Ts+UZJY2hrMkqZSTYtTGMeWdNdZWT25p3VrY+CtyFl6BdDewws/82s+vN7Gozu8zMXulvX29m/w3sAK7yn3MX8JGwgquc+xARkQXKmG+mTo15sybwb6mRM5mDc47eodHJ/bp8dmt0juWHA8lZu5Izyc3+tpdw0vZvALAsjOQsY+RMZY3lyDk3ZmZXAv8H+FO8fOgK/2smE23zvwO8wzkX2otHI2ciEo6xIdj7aHpfyVn+rNoM5v/6Pvg0jOR3XoaUlsHRJGNJr3FMXVUFVRX5+9PfPPACdaNeN+mRqmZ6mk7I27mlPB1qOYOkeWMHiwdeoHbk8BzPmJ+M5EwjZ2XLOTfonLsG+AO8JiEpvARsuq+Uf8wVzrlrnHODYcamkTMRCcfeRyHl/+Fr2wgN7dHGU0pqGmHpyXBgC7gUdDwM618edVQSUz1H0qNmi+tnXHd1QYKjZgfazsXNv/mZSIZkZT2HF5/OMn/tvGWdD7Bz5avzdv6MskbNOSt7zrlbgVvNbBFwPnAs0IKXlHXhlTPe75wr2KegSs5EJBy77ktvH6NSp7xbc46XnIFX2rj+5VFGIzHWcyT9BrS5Ls/JmeabSQgOtJ0XSM4ezGty1qiRM5mGc24A+FXUcYDKGkUkLLsCcwWOOT+6OErVanVslOz0BkYH8jlyZqkxlnal55Xub9P/c8mP4NzFfDcF0ZwziTslZyKSf6kU7E5/oq6RsxAEu1/u+b33by4yje5AWWNLfXXeztves4Wq5BAAA3WrGKhfnbdzS3nrbD6FsYp6ABYNddBwZHfezq1ujRJ3Ss5EJP8OPQvDvd52wxJoXR9tPKWodb33bwsw3OP9m4tMI1jWmM+Rs6NKGs1mOVokey5RxcHWzZP7Kw7fN8vR86N1ziTulJyJSP5NnW+mN235Z5Y5Irnr3uhikVgLljU21+Vv5Cy4+LRa6Eu+7Wu/cHJ75aG78nbeprrgnDOVNUr8KDkTkfzbFSxp1DyU0BxzQXp7Z/4+WZbSEka3xsrxQdp7npjcDy4cLJIP+5a8dHJ7WecDJFL5GeVqqlW3Rok3JWcikn+ab1YYawOJ7857wbnoYpHY6g6UNbbkKTlb3nk/CZcEoKvxBEaqW/JyXpEJ/fXH0F/nzWOsSg7R3v3oHM/ITubImZIziR8lZyKSX70d0LPL266qh+WnRRtPKVt2KlQv8rb790LPzmjjkVjKbKWfn7LGFYfuntwOjnCI5I0Z+5YESxvvnuXg7GUkZ+rWKDGk5ExE8is4arZqM1Tkd10lCaiohDWBcjKVNso0eofyXNboXMYcoL1LXpb7OUWmEXxtrTicp+SsVt0aJd6UnIlIfmm+WWEFSxvVFESmke9ujc0DW2kYPgDAaGUjhxdrdFzCcbD1HJLmvWZb+rdS57/uctFQXUnC71F1ZDTJWFLLkEi8KDkTkfya2qlRwqWmIDKHzDlnuZc1BsvL9rVfgEtUznK0yMKNV9ZzqPWsyf0Vh+7J+ZyJhNEYaKffr46NEjNKzkQkf4b74MBT3rYlYPU50cZTDlZthgr/DXfnVhg4FG08EivOuYyyxua63EfOVNIohRR8ja3MV2ljnTo2SnwpOROR/Nnze3B+iciyk6G2Kdp4ykFVLaxMf7KcMXIpZc8r2/K6eNZWJaitqsjpfFVj/SwJdM0LNmwQCUNwvbPlh+/HUrmPdGUsRK15ZxIzSs5EJH8ySho136xgprbUF/H1BEYFFuehU2OwhX5n00kM17TnfE6R2fQuOo7B2mUAVI/3Z6yvt1BNKmuUGFNyJiL5sz1d7sTaC2Y+TvJrbWD0Qk1BJKB7ML+dGlXSKAVnlrFcQz66NqqsUeJMyZmI5MfoIHQ8nN4/Vm/cCmbNuYDffmz/Fm/unwjQO5THTo3OaX0zicTe9vRrLR/rnamsUeJMyZmI5MfuByDl/5FbehI0qNypYGqbYfkp3rZLwZ4Ho41HYiOjjX6OZY2L+5+jfsRrODNS1Uzn4lNzOp9Itg60nUfKvNGu1r5ncm6pr4WoJc6UnIlIfgRLGjVqVnhqqS/T6Al0amxpyG3kLFjSuK/9Qpzl1lxEJFtjVY0cbN08ub/qwG9zOp9GziTOlJyJSH7sCCZnKncquOAcv+DPQspacOSsOceRM803kyjtWXrJ5Pbqg3fkdC7NOZM4U3ImIrkb6YeOR/wdU3IWheC/ecfD3s9Eyl7Pkfw0BKkdOcyS7scASJFgX7sa/khh7VmWTs6WdT5I5fjggs+VOXKmskaJFyVnIpK7XQ+A316bZadAfWu08ZSjhnZY5s8BSo2rtFGAqXPOFp6crTp4J4a3XtqhljMZqdH/cSmsI3Ur6W48HoAKN5bRnGa+MuecaeRM4kXJmYjkbsfv0tvrVO4UmXUXpbe33xldHBIbGeuc1S+8rHH1gdsnt/cse0VOMYksVHD0LJfSxqbaQFmj5pxJzCg5E5Hcbdd8s1hYf3F6W8mZkJ+yxsqxAZYfvn9yf8+yS3OOS2QhgvPOVh38HZZaWGIVHDnr1ciZxIySMxHJzXAv7HvM3zEtPh2ltRfARAe9/VtgsDPaeCRyGWWNC0zOVh6+mwrnnaer8QQG61flJTaR+epuOpHB2uUAVI/3s7T7kTmeMb3mQHIW/D8iEgdKzkQkN7vu99bWAlhxGtS1RBtPOatphFXpdtPq2igZZY0L7Na4+sBvJrdV0iiRMqNj6csnd1cfWFhpY2tD+v9C95FRnHO5RiaSN0rORCQ32wPzzbS+WfRU2ig+5xy9OY6cJZKjrDqY/j+u5EyiFpx3turgb2EBiVVtVQX11V6VwVjS0T+ijo0SH0rORCQ3wdGZYEMKiUZGU5DfzXyclLwjo0lGk96odm1Vgtqq+S8avazrQaqSXsvygbpV9DRuymuMIvN1sPUcRisXAbBoqIPF/c8v6DzB0bOugdFZjhQpLCVnIrJwQz2w7wlv2xJwzEuijUdg9blQWettd74AvR3RxiORyU9JY7pL4+5ll4JZznGJ5CKVqMpYBD1YdjsfGcnZESVnEh9KzkRk4bb/Dvy1j1h5JtQ2RxqOAFW1mUmyRs/KVs6dGl0qY06PSholLjoCXRuP2X/bgs6hkTOJKyVnIrJwLwY+sTxOb9xiQ+udCbl3amzveYK6Ua/j53B1K4dbzshbbCK56Fh6MeOJGgAWD7xAU/+L8z5Ha71GziSelJyJyMI4By+mS56UnMXIupent7fduaAJ81L8MpKzBZQ1rtn/q8ntPUsvwdn856yJhGG8sp69S9IfQq3df+u8z5Excjao5EziQ8mZiCxM1zbo2eVtVy+C1edEG4+krTgdapq87f693twzKTs9QzmUNboUxwTe8O5eroWnJV52rnjV5PYx+3457w+hWhcpOZN4UnImIgsTLGlcdxFULGyBWwlBRSUc+9L0/osLWwtIiltw5Kx5nslZe8/jNAwfAGCkqpn9bWr2I/Gyd+lFjFfUAdA8uJ3mga3zen5GWaOSM4kRJWcisjCabxZvwZ/JC7+a+TgpWcGGIC318ytrXLvvl5Pbu5e/EpfQhy8SL8mKOjqWptd1DL5ms6GyRokrJWciMn/JscwugErO4mfDK9Pb2++CseHoYpFIZM45yz65MpfM6IC3c/kVeY1LJF+Cr81j9t02r9JGJWcSV0rORGT+9vweRge87cXHQOv6aOORo7Wug7YN3vb4EOy8J9p4pOAy1jmbR1njkq5HqBs5DMBQdSsHW8/Oe2wi+bB3yUsZq6gHoOnITlr6ns36uUrOJK6UnInI/L0wpUujFqaNpw2XpbeDPzMpC73BOWfz6NaYWdJ4GS5Rmde4RPIlVVHDnmXBNc+yL21sa6iZ3O5WciYxouRMROZva2DRT5U0xlewtPGFX0cXh0SiOzjnrCG7kTNLjWW00N+54g/yHpdIPu0KlDau3Xdr1qWNjbWVVCS8Dxb7R8YZGU+GEp/IfCk5E5H56dsL+5/wthNVsP6S2Y+X6Bx7IVTWetuHn0svfSBlIaOsMcuRsxWH76V2rBuAwdplHGo5M5TYRPJlX/sFjFY2ArBoqIO23i1ZPS+RsIxGOd2DY7McLQtlZqvN7OtmttfMRsxsh5l93sxa5nGOy8zsM2Z2u5l1mZkzs7vDjDtKSs5EZH6Co2Zrz4fapuhikdlV1WW21NfoWdlwzmWUNWY752xdx08nt3esfDWY3iZIvKUqqtm9LL0O37qO/8r6ua2BEWXNO8s/MzsOeBh4K/Ag8DlgG/B+4D4za8vyVO8BPghcAHSEEGqs6LeuiMzP84HkbJO6uMVesLRxq1rql4uhsSSjyRQANZUJaqsq5nxO1Vgfqw/+dnJ/x8rXhBWeSF5tX/Xaye21+35BIpldoqWmIKH7MrAUeJ9z7nXOuY86516Bl6QdD3wqy/N8GjgFWASU/C8mJWcikr3xEdj22/T+xldFFopkaePl6e0X74CxoehikYLpDoyaZbvG2TH7b6Mi5b1B7Wo6kd7GDaHEJpJvB1s3M1i7AoCasV5WHrorq+dlJGdHlJzlk5mtBy4HdgBfmvLwJ4BB4Foza5jrXM65+5xzTznnymJioJIzEcnejrthbNDbbl0P7XrzFnttx0H7Jm97fAi23RltPFIQwQWosy9pTJeDbdeomRQTS7B91R9O7q7r+ElWT8tIzgZG8h5WmZvoFnabcy4VfMA51w/cA9QDLyl0YHGn5ExEsvf8reltlTQWj+MDHfee+3l0cUjBZLbRnzs5aziyh6XdjwCQsgp2rlSXRikuwdLGVYfuoma0e87ntAba6auscVq1ZvbwdF9ZPPd4//b5GR7f6t9uyj3M0qLkTESy4xxsDSRnwXI5ibfjr0xvP/9LSKVmPlZKwnwXoF4faASyr/0ChmvaQ4lLJCz9DcdyePFpACTcOGv3zv1BVGvg/4bKGvOu2b/tneHxifsXFyCWoqLkTESyc/AZ6N7hbVcvgrUXRhqOzMPqc6Deb4o1cAD2PhptPBK6jDXO5phzZi7J+j3/Obm/bdUfhRaXSJiCr931e34855pnrYs0cjaHYefc5um+8rt9AugAACAASURBVHBu82+zW5iujCg5E5HsPBNoT7zxMqjMrsmAxECiIrMMVaWNJa8nWNY4x8jZ8sP30jC8H4DhqhY6lmlheSlOO1e8ivGEl3C19j9La9/Tsx7fWq9ujSGaGBlrnuHxpinHia/kkrN8LHbnn6fVf94O/zx7/fOunuH4Hf6ieNN97c/PdycSoWcDydmJahZQdDLmnf0iujikIHrnsQD1cbv/Y3J7++rXkkpk10BEJG7GqprZvTxdcr9h9w9mPV6t9EP1nH8705yyjf7tTHPSylZl1AHkk7/Y3b14ayr8BHgWOBdvsbsrzOxC51xnFudp88+zCfgN8F3gBLxF9F5tZuc757ZN89Re4PPT3D+wgG9HJD66tsP+Ld52RTVsuCzaeGT+1l8CFTWQHIGDT3k/09Z1UUclIcm2W2PtyOGMtc1eXH1VmGGJhO6FNX/Mur3eh4lr9/6CR074MOOV9dMe27ZIyVmI7vBvLzezRLBjo5k1AhcCQ8D9UQQXZ6U2cpavxe7+Hi8x+5xz7lL/PK/DS/KW+teZTo9z7pPTfP1zbt+WSMSe/Vl6e/0lUNs087ESTzWLYP3L0/tPZ9dqWopT5jpnMydn6zp+SsKNA3Cw5Sz6Fq0PPTaRMB1qOZPeBu91XJU8wtp9M1cKBD+46D4yRiql6U/54px7EbgNOBZ4z5SHbwAagFucc4MTd5rZCWZ2QsGCjKmSSc7ytdid//i1/vGfmPLwv/jnf5V/PZHy8EwgOVNJY/E6KdDoQclZSesOjAI0z1TW6FJs2P2jyV2NmklJMOPFNenX8obdP5zx0JrKChprvCKyZMrRNzw247GyIO8GDgI3mdmPzewfzOw3wAfwyhk/PuX4Z/yvDGb2UjO72cxuBiYGPDZO3OffXzJKJjkjf4vdnQ/UAff4zwueJ4X3KQDAJdM8t8bM3mxm15vZ+83sEjOrmO83IhIr/Qdg9wPetiUy5y5JcTnhSpiYT7T3EejeGW08EpoD/cOT28uaaqY9ZsXhe2k8sguA0cpGdq3Q8hhSGravei1J837XtfU+SUvvUzMe26J5Z6HxR8/OBm4GzgM+BBwH3AScn81UI98G4Dr/62r/vqWB+67LX9TRK6XkLF+L3eVynuXAv+OVT34eb77aVjO7eI5rTpplsb/abM8hklfP/ozJTrdrL4QGrX9UtOpaVNpYBpxzHOwbmdxf2jT9n49NO789uf3i6teTrKgLPTaRQhipbmH38vTc6OMDr/Wp1BQkXM653c65tzrnVjjnqp1za51z73fOdU1zrDnnbJr7b554bKavwnw3hVFKyVm+Frtb6Hm+AVyKl6A1AKcCX8Wrtf2FmZ0+x3VF4unJdNmTShpLwMmvS28//ePo4pDQ9A2NMzLuFZA0VFewqObo3l+LBnex8tDdADiMrce8saAxioTtuWOvmdxeu++X1IwclQsA0KbkTGKmlJKzueRrsbtpz+Ocu8E59xvn3AHn3BHn3JPOuXcBn8Urk/xkNiefZbG/4TmfLJJvvR2w815v2xJw0utmP17i7/grIeG/We94GHp2RRuP5F1mSeP0o2Ybd30P8/+M7V3yUgYajilIbCKF0rn4NDqbTwGgIjXKcXt+NO1xKmuUuCml5Cxfi93le9G8r/i3F2V5vEh8PPUfTH4OcezLoHFZpOFIHtS3wrpApbVKG0tOsKRxSePR880qxo9w3J7/nNx/fu2fFiQukUJ7bu2bJrc37fwuljq64Udw5KxTyZnEQCklZ/la7C7fi+Yd9G9n7RIpEkvBksZT3xBdHJJfwdLGLbMv0irF50Df7CNn6zt+SvW41++qv34N+9ovLFhsIoW0a/mrGKpuBaB+5CBrDtx+1DHBkbNuJWcSA6WUnGUsdhd8YJ6L3d3vH3eh/7zgeRJ47fqD15vL+f7tdItWi8RX54uw91Fvu6Ja881KyYmv8X6mAPseh4PPRhuP5NWsnRpTSU7Yccvk7nNrr/FKlkVKUKqimheO+ZPJ/RO23wIuc3aLGoJI3JTMb+R8LXbnnBvA67jYwNHzxN7rn/9W59xksmVmJ5tZ69SYzGwt3tpoAN+c9zclEqXgqNmGy6Burl46UjTqWmDTFen9J74bXSySdxmdGhunjJw98180HtkNwEhVE9tWv76QoYkU3NZj3kgy4SVg7b1bYOc9GY+31geSsyNKziR6JZOc+fKy2B1wvX/8B83sdv88Pwa+4J9/avL3BmCvmf3CzL5sZp82sx8Cz+KtzfBz0ovmicSfc5nlbqdePfOxUpxO///S20/8AFKpmY+VonIwMHK2NDhy5hzce9Pk7tZj3sh4ZX0hQxMpuOGadratem36jnu+kPF46yKNnEm8lFRylq/F7vzjzveft8E/z3l47fI3+9cJugP4T2Ad8Cbgg8DFwN14C+P9oXNO/+OleOx5CA770yqrF2WOskhp2HAZ1PkD/n17YOfd0cYjeXMgMHKWMeds131eh04gaVU8H2iWIFLKnl13HW6i2fbW2+BAelHqjIYgA3qrJtE7evGTIuec2w28NctjZ1y0zl8c7/3+11znuRO4M9sYRWLv0X9Pb5/8eqhWP5uSU1kNp1wFv/83b/+J78E6NZUtBRkjZ8FujXd/bnJz+6rXMlyjBeWlPPQ3HMvuZa/kmAO/8u645ya46qvAlIYgKmuUGCipkTMRyYPRI/Dkf6T3z7w2ulgkXKcFShuf+gmMDs58rBQF51zGyNnSiZGzjoe9EQO8RaefXfdnUYQnEpln1gc+t9/yA+jyWgc01lRSVeF9Vn9kNMnwWDKK8EQmKTkTkUzP/BRGvTbbtG2ENedGG4+EZ/XZ0LbB2x7th6f+c/bjJfZ6h8YYHffmDy6qqWRRjV8gc+c/TR6zc8UV9C1aH0V4IpHpXHwq+9vO83ZcEn73GQDMjJZ6zTuT+FByJiKZHg00Fj3zGrAZq3+l2JnBWdel9x++ObJQJD8O9gc7NfoljXsfg+d/4d9rPHncOwsfmEgMbNnwrvTO49/xloxB7fQlXpSciUha13bYcZe3bRVw+p9GG4+E74w3QaLK297ze9j/ZLTxSE6CC1BPdmq88x/TB5z8OvoajytwVCLxcKj17PTcWpeEu7zRs7ZAx8ZOJWcSMSVnIpL28DfS2xteCY3Lo4tFCqOhPXOB8Uf+b3SxSM6O6tTY8TA899/pAy76mwiiEomRl38svf34d6HzxYyyxm4lZxIxJWci4hkbgkduSe+f/bboYpHCOjswUf7x73lNYaQoZXRqXFQNv/pE+sGT/giWnRxBVCIxsvYCWHext+2ScMenMtvpKzmTiCk5ExHPlh/CULe33XIsbLws0nCkgI59GbT6pW4jvfDkj6KNRxbsYGDk7KzxRzPLlF/xdxFFJRIzr/jb9PaTP+KE1NbJXY2cSdSUnIkIOAcPfjW9f87bIVERXTxSWGaw+S3p/Qe+4r0mpOhMzDkzUlyw7ab0A5uvg/YNEUUlEjNrzs0o575k178A3u88jZxJ1JSciQjsfhD2b/G2K+vgjGuijUcK76xroare2z7wJGy/M9p4ZEEmujX+UeJemvue8+6sqoeLPxJhVCIxdOknvRFlYHn3Q1ySeAyArsGRWZ4kEj4lZyLijZRMOO0NUN8aXSwSjbqWzKT8vi9FF4ss2IG+YeoZ5qNV30nfef571NxHZKr2DRnzba+v/DaVjLO/T8mZREvJmUi569oOT/84vX/OX0QXi0TrJX8J+Ovabb0NDj0XaTgyP845DvaN8FeV/8ly8+ePLloGF7wv2sBE4urij0D1IgA2Jjp4S8WtdHSrIZJES8mZSLm79yZwKW97/SWw4rRo45HotB0Hx/9Bev/+L0cXi8xb79AYq1Id/HnFz9N3XnYj1DZFF5RInC1amlHy+9eVPyIxcICh0WSEQUm5U3ImUs76D8Cj30rvv/QD0cUi8XD+e9Lbj30H+vZFF4vMy4HeYf6u8haqzX9jufpcOPVPog1KJO5e8pfQfjwAi2yY66u+RUePRs8kOkrORMrZ/V+GpF9fv2ozrLso2ngkemsvhJVnedvJEbjnC9HGI1lLbfkRl1Q87m1jcOU/QkJ/5kVmVVEFV/7T5O7rKu5l4JnbIwxIyp1+a4uUq6EeeOjr6f2XfsBrqS7lzSyzs9/D34D+/dHFI9kZ7GTdQzdO7t67+LWw8swIAxIpIusv5rGmV0zuHnf/9TA6GGFAUs6UnImUq3tvgpE+b7t9Exz/6mjjkfjY9CpYcYa3PT4M99w0+/ESvVs/Ru1oFwB7XSv3H6cmICLz8fsTPkyPawCgcagDbv+fEUck5UrJmUg56j8A9//v9P5FH1b5k6SZwcs/mt5/6OswcDC6eGR2z98KT3xvcvfjY3/O4sVaDkNkPlqXreHGsWvTdzzwFdh1f3QBSdnSuzGRcvS7f4Ixf8LzslPhlKujjUfiZ9MVsOJ0b3t8CH77v6KNR6Y3cAh+km7i8pPkBdyROpOlTbURBiVSfFa31PEfqZfx26T/ew8H//kuGOmPNC4pP0rORMpN9w54+Ob0/qX/Q6NmcjQzuORv0/sP36x1z+LGOS8xGzwEQFeilU+O/RkAyxprooxMpOisbq0HjI+NvZ0B6r07u7fDz/8m0rik/OgdmUi5uf1GSI1522teAhsvjzYeia+Nl8G6i71tl4Tb/ke08Uim3/8bbL11cvfGir+iG29NM42ciczPssYaKhPGPtq4fvRt6Qce/w488YPoApOyo+RMpJxsvwue/FF6/5WfUIdGmZkZvOpTgP8a2XorbPttlBHJhI6H4dbrJ3fdS97Nz4+cOLm/VCNnIvNSWZFgxWLvQ42fpi6g7/g/Tj/4sw/A4a0RRSblRsmZSLlIjmWWZ5xyNay9ILp4pDgsPxXOuCa9/4uPwvhodPEIDB6G7/0ZJP2fw7JT6Tn/Y4wmUwA01lTSUFMZYYAixWn14vrJ7cdP/Ti0rPN2Rvvhu9do/pkUhJIzkXLx4L/CoWe87aoGuExtgiVLr/hb7zUD3mvoXrXWj0xyHH74Nujb4+3XNsMbb+HAUPqQJU0aNRNZiNUtdZPbOwcq4A03Q6VfInz4OfjxX3pzPUVCpORMpBz07oE7/j69f/GHoXlVdPFIcWla4SVoE+78R+h8Mbp4ypVz8MuPwPY70/dd9a/Qup6DfSOTdy1r1HwzkYVY3ZIeOdvTPQQrz4DXfCF9wDP/BXd+OoLIpJwoORMpdc7BT97rlWUAtG2El7w72pik+Jz3Tlh5predHIH/er8+QS60+77kNQGZcPFHvQXDgQP/r707j6+rrPc9/vntvTOnSdN0nukslLGFthQPLcVSRAU8iIogoqAcQBT0yr0OKB7HowICR+F4RWS6IvMoLUPLPA9FENpCKR3plE6Zh/3cP56VZCc0adrsZGWv/X2/Xuu1sob9rF93s3fWbz3TztqW3UNUcyayT1JrztZuC6abOfgLMOPc1pOW/BJeu6WXI5NsouRMJOpevh5WLg42DE68BhK5oYYkGSgW90+QLe63Vz0FL1wXbkzZ5K17YFFK7eXUf4ejL2nZ3LSrteZMIzWK7Ju2yVlKW+H5P4Nxc1q3778Q3n2s1+KS7KLkTCTKKt5vO/z5kRfA6JnhxSOZbdjBcOQ3W7cf+RF8+GZ48WSL5YvgzrOBoKZy1Ew48Q9t5if8cEdrzZlGahTZN36uM69NchbPgVNvgiFT/XayEW47A1Y/38sRSjZQciYSVQ21cPuZ0FDltwdObjupsMi+mPt9GHqQ/7mp3g9OUV8dbkxRtnIJ3HZ669yE5RPgC7dCTtvasfc2V7b8PCrlBlNEuq55rjOALZV11DY0tR7ML4Ev3Q4lQX/thiq4+RRY+3IIkUqUKTkTiap//C/YsNT/HMuBk6/9yA2dyF5L5MEp10NOkABsWQYPfkf9z3rCu4/CrV/wffwA+o+BL98HReUfOXX5xtbkbPKQfr0VoUikpM51Bu1qzwBKhsMZd0PRIL9dvwtu+iyseakXo5SoU3ImEkWv3gSv3ti6veCXMOKw8OKRaBk4EY5PGbFs6a3w3DXhxRNFb93tE7PG4OawZASced9uR1mtqKpnS6VP4PISMdWciXRD6lxnLYOCpBo02T8kKQwektTtgBs/4x+miKSBkjORqFn5BDxwUev2gafC4WeHF49E06FntJ2cetGPfN8o6b4X/+SbizY3ZSwdBWfeD2Vjd3v68o2tE+NOHFJMPGiWJSJ7r8NBQVIN2R++fG9rgtZQ7R+mvHF7L0QoUafkTCRKPvxn2/4pg/eHT18Jpps1STMz+NQVMGpGsMPBHWep/0V3NDX4JqIPfRdc0u8bOAm+uhDKx3f4shUpydmkwWrSKNIdH5nrrCNDD4SzHoaSkX472QB3nQ2P/Sckkz0cpUSZkjORqKhYCbd8Dup2+u1+w+G0v0NuUbhxSXQl8uDzN/uaHYD6Srj5s7DhjXDjykS7Nvr3LnUes+GHwVn/2OOE8an9zSaqv5lIt+x2rrOODJoEX1vkB9xq9tRv/UPSmu09FKFEnZIzkSjYvBz+8knYtcFv55XA6XdA/1HhxiXRVzwYvnRHa/Oe2h1w00mw8a1w48okK5fAtUfB+0+27jvgs3DWQ1A0cI8vX5ZSczZ5aHEPBCiSPbrUrDFV6QifoI2f17pv2YNw3cc1UIjsEyVnIplu41twQ0pilsj3Q20POSDcuCR7DJ7iRzDLK/Xb1Vvh+uNh1TPhxtXX1VfDwh/AjSdB1aZgp8Gc7wcjYhZ0+nIA51ybZo0T1axRpFs6nOusMwX9/TD7sy5o3bd9NVx/HCz5NTTWpzlKiTIlZyKZbPlC+PNxULXZb+cU+VqM/T4eblySfYYdDKffCblBclC3A2462Y86KB+16mlfW/bcNbRMLl00yCe5cy7pcj/RLZX1bKv2fUwLc+OM6L/nhE5EOtbpXGedicXhuJ/DqTe2PqhyTbDkF/A/c2DdKz0TsESOkjORTOQcPPN7uPXzfp4V8E0Zz7hbiZmEZ9Thvile8RC/3VQHt3/F1w41NYQaWp+xY60fifGGE6Divdb944+Bc5+G8XP3qri2IzX2I6aRGkW6ZY9zne3J/ifCuU+lDJYEbHoL/jQP7jkPdq5PU6QSVUrORDLNro1wyynwyKW0PHEvHe0HDhg9o9OXivS4YQf5/hflE1r3PXcN3PApP2hNtqrc5JPUq6fDm3e27s8rgc9cA6ffBf2G7nWxy9uM1Kj+ZiLpkFoDvcdBQXanbIz/m3zcLyDRXJaD12+Bq6fB4l9CXWWnRUj2UnImkimcg3/eAX+c1Xayy1Ez4ZzHYejU8GITSVU2Fs5+FCYd37pvzfPwhyPh2ash2cVmQlFQuQkW/RCuPMgnqY0pT+GnngLnvwCHnbHP012kjtQ4eaj6m4mkQ5eH0+9MLA6zzofznoVJC1r3N1TDE7+CKw6Ax38GVVu6Ga1EjZIzkUyw8S1f83Dn1/xgC81mXQBn3gfFg8KLTWR3Csr8wDTH/gQs7vc11vhE5dqjYMUj/oFDFDkHHzwHd3wNLt/fJ6SpSdmwg+ErD8Epf4aS4d26VPtmjSLSfakjNq6p2Ieas1QDxsFpt/lJq4cc2Lq/djs8+RufpD1wsZ+nVARIhB2AiHRi8zJY8qtgUIWUG9l+w+HkP8K4OSEFJtIFsRgcdRHsdzTc903Y+Kbfv+lfvmnumKPgqG/DhGOjMVH6tg/8Z/WNv/s+Ju0NPQjm/B+YfHxa/r3OubbNGoeoWaNIOkxIaSK8dG2a5isbNwe+8QQs/X/w5G9h2/t+f2MtvPxnvww7GA49A6b+OxQOSM91JeMoORPpa5JJeO9xePE6X7uQmpRZHGb+Bxx9CeSXhBaiyF4ZcRh8fYkfxOapy6Ghyu//4Gm/DJoC086CAz8HReVhRrp3nPO12u8+Cm/f1/FobKNmwpHfhCknpDUJ3bizjl21jQD0y08wtCR/D68Qka6YPqY1MXp9zXbqG5PkJtLQ2CwWh0NPh4O/CP+6F565EjYsbT2+Yalf/nEJjJ0NUz4Fkz+pOUuzjLmoNiuJGDOrKigoKKyu7mb1uvRNySR8uBTevMsvO9d+9JxJC2Dej2HI/r0fn0i6VG7ytcGv3OCHmU4Vy/GjFU6cD5OOg/6jQwmxQ8kmX5u99iX44FlYuRgqN+7+3JxCOOhUOPxsGHrg7s/ppieWb+bM618EYNqYMu78jyO79LpbX1jdI/GIZILTZnTte+WoXz/e0t/s7vOO5NDRZekPxjk/+fyrN8Lb9/sRbndn2MFwyl+gfHz6Y+hAYWEhNTU11c65ou6UY2YjgZ8CC4ByYANwD3CZc27bXpQzALgUOAkYBmwFHgYudc7t5qYpc6nmTCQMzsGONf4G793H/E1e81xlbZi/ST36ezBiWq+HKZJ2xYPhU5f75ozPXwuv/hXqg0Etkg2wYpFfHvqur1EbNcPXvA0/DAZ/DOI5vRNn1RbY/E6wLINNb8P611pj3Z1Ywg+Jf8DJvpYsv7RHQ1yhJo0iPebwsQNYu20dAK98sK1nkjMzGHe0X2q2+UG/lv4N1r3c9rwtK7rdPzUMZjYeeBYYDNwLvAMcAXwLWGBms51zWzspormc8qCcScDjwN+AKcBZwAlmNss5F5nhgJWcifS06go/hPjW92DrClj/ur/Jq+5khKaCAXDIaTD9q736pEyk1/QfDQt+4SdcfvMueP1WWPti23Oak6NX/+q3Yzl+iOoB4/zSb5ifuLloEBSWQ04B5OT7oasTeRDPhWSjr/FKNvqlocZPkF0bLDXb/YORnev8/EM71/u5yGq72M+koAzGzYUJ83zzo17sJ9K2v5kGAxFJp+ljy7j7NZ+cvbSqgrM/Pq5nL1hQBkec45edG2DZQ/DOg75mbcI8//2Wef6AT8wudM5d3bzTzC4HLgJ+DpzbhXJ+gU/MrnDOXZxSzoXA74PrLOjgtRlHzRozhJo19gHO+Ru7+kqo29W6rqv0P1dv9U2cKjcFy0bYtqrrN3mF5X5ghKmn+KZdvVVDINJXbFsFyxfBioXw/lMdN/EJU/EQGHk4jJzuBzoZdrDvRxKCE//7GZau8d8vt5w9g9kTBnbpdWrWKNmsq80al2/cxfwrngSgvCiXl394LBbGwEXND5HKxvTqZbvbrNHMxgHvAauA8c65ZMqxfvjmjQYMds5VdVJOEbAZSALDnHO7Uo7FgmuMDa4Ridoz1ZxJ5x75sR9RqCWJD9btk/o22+3P2dvtfX1N+1j2ooxko29S1dQATfXQ1Bis6/2x5p9bv1u6L68Ehh/ib/AmzIOhB/vR7USyVdlYmPF1v9RXwdqXYf2rsC5YdtcXs6fkFMGgSTBwMgya7JtYDp0KpaP6xMiSzjnebTOMvpo1iqTThEHFlBbksKOmga1V9by/pYpxg0L4nOWX9ngT6R5yTLBelJqYATjndpnZM8B8YCbwWCflzAIKgnJ2pR5wziXNbBHwdWAuoORMssD7T/gmeLLvcgqDZlj7+fWQA2H4of5nJWMiu5db1NoXo1ldpa9dq1jpHxpVbvJNEqs2+5rrxjpfu91YCw21/oFLLMfXbMUSfknktt7sNC+F5VAy0vfpKB0BJSOgcGCf/nyu215DVb0fUKWsMIdBxXkhRyQSLbGYMW1MGY+/swmAl1dtCyc5C1e+me12GFrn3J46wk8O1ss7OL4Cn5xNovPkrCvlEJQTCUrOZA/Cf0Lcp8TzIK8Ycoshr59fcov9voIy3+SpeDAUDfbr0lHQb2ifeNIukvHyin3t1dCpYUcSuvaTT4fS3Eok4qaPbU3OXlpVwamHa0j7vdBc3bejg+PN+/v3UjkZQ8mZdG7epSl9poI//i03AR1sd+WcLpXB3r2mzc3JXr4mlvB9vGI5fhCBeCJY5wbHcv1x9QMTkT7gtdWtfVk1UqNIzzh8bOsAP6980OVR36Oktgs1ZPuq+Yasu4NfpKucPkPJmXRu/NywIxARkRTOOR58Y0PL9uzxXRsIRET2zoEjSsmNx6hvSrJySxVbKusYqCbEXdVco9VRh7mSduf1dDkZo+82qBcREZGPeGv9TlZu8YObFeclmDtlcMgRiURTfk6cg0a25gQvr8rK2rN9tSxYd9QXbGKw7qgvWbrLyRhKzkRERDLI/W+sb/l5/v5DyM8JZyh/kWwwPaVp48urKkKMJOMsDtbzgyHvWwRD6c8GaoDn91DO88F5s4PXpZYTww8qknq9jKfkTEREJEM453hgaWuTxk8fPDzEaESib/qYspafX8rOfmf7xDn3HrAIPwfZ+e0OXwYUATemznFmZlPMbEq7ciqBm4Lzf9KunAuC8hdGZY4zUJ8zERGRjPHq6u2s214DQGlBTpcnnhaRfTMtJTl7a90OauqbKMhVbXUXnQc8C1xlZvOAt4EZ+DnJlgM/aHf+28G6/fCz3wfmABeb2SHAi8DHgBOBTXw0+ctoqjkTERHJEPcvbW3SePzUoeQm9GdcpCeVFeUycbAfEbUx6XhtjWrPuiqoPZsO3IBPyr4DjAeuAmY557Z2sZyt+MmorwImBOXMAP4CTAuuExmqORMREckATUnHg/9Uk0aR3jZ97ABWbKoE4NYXVnOkRkjtMufcGuCsLp7b4YSNzrkK4FvBEml65CYiIpIBXnh/K5t31QEwsDiPmePKQ45IJDucOn1ky88PvLGBt9ZHZtR26YOUnImIiGSA+1MGAjnhwKHEYx0+ZBaRNDp0dBmf2H9Iy/ZvFy7r5GyR7lFyJiIi0sc1NCX5x5tq0igSlu/On4wFz0MWL9vMSxpWX3qI+pyJSKdufWH1Hs85bcboHrm2c46dtY1sq6qnorqeHTUN1NY3UdvYRG1DksakIydm5MRjJOJGQU6c0oIcSgpyKA2Wwtw4Zr1fw9CUdFTVN1JZ20hlXbDUNlJV10hVfRNJ58BB0jkc4DcdzkHMjJy4kZuIkZeI4pR8vgAAEBdJREFUkZuIkRuP+3UiRkFOnKK8OMV5CYryEuTE9Zwt6v6w+D22VzcAMLw0n8NGl+3hFSKSTpOH9uPkQ0Zw12vrAPjNw8u47RszQ/n7ItGm5ExE9klDU5KdNQ1U1jXy7LtbqGtMUtfYRGPSETfDzIjHjHgM/7MZMTOanKO+MUl9cP6Omga2VdWztaqebdX1VFQ1Lw1sr66nMem6FWciZpQU5FCSn2hJ3FKTt5J8vy7OT2AEyVKQKCWTrdsNyaRPrOqaqK5vpDJYN+9rn4hV1zel543uguK8BOXFuZQX5TKwOI8RZQWMLS9iTHkhY8uLGDWgUE3gMtgDb6znikeXt2x//vDRxPT/KdLrvn3sJO5bup7GpOPFVRU8sXwzcyYPDjssiZjIJWdmNhL4KbAAKAc2APcAlznnujz+qZkNAC4FTgKGAVuBh4FLnXNre/LaIn1JU9KxcWcta7ZVs6aimg07atlR09Am+bjuyb4792Nj0rUkfFHVnBB+sLV6t8dz4zEOHFnK1OElHDCilMNG92fcwGLd4GeApWu2852/L23Znj2hnPPmjg8xIpHsNbq8kC8eMZqbnv8AgP96eBkzx5WTn6N5zyR9zLnuPZXuS8xsPH6yu8HAvcA7wBH4ye6WAbO7MqeCmZUH5UwCHgdeAqbQOtndrPYzkafr2p3EVFVQUFBYXb37my+RdNm0s5bX1mzntdXbeW31Nl5dvY2GpvC+J3ITMYpy4xTlJSjIiZMTj5ET900Zm2vimpJ+qW9MUtvQRE2w1DY0hRp7XtAsMS8RJy+n9efcRAyfFxlmrbNtWrDPBf+mxmTz2jfhbGry++qbWmse6xuT7EvlYkl+gsPGlHHY6DKmjSnj4FH9Kc6L3PO6jLZhRw0nXvMMm4IRGscNLOLu82ZTWpjTrXK70lRZJKq62wx/085a/u03i6ltSAIwZWg/rvzCIUwZWpKO8PqMwsJCampqqp1zRWHHkm2ilpwtBOYDFzrnrk7ZfzlwEXCdc+7cLpRzHfB14Arn3MUp+y8Efg8sdM4t6IlrdxKTkjNJu521DSz/cBevr9nOa2u28/rq7azbXtOl18YMSvJ9c8DmhCkR80mHA5LO9xlzKf2qks4RMyMR800eEzEjP8cnXkW5cQrzEhTlJijKi1OYm6AwN97t/lSNTcmUZC1JTX1r4lbT0ERt83ZjEoOWDt8xs5SkyYhZkGzlxMmNx8jLifl1IkZuIt6aiOXEyU/EyEn45LGnOeeobUi21J7tqm1tJrq1qp7Nu+qorGvcYzkxg8lDSzhkVH/2H17C/sNKmDK0H0VK2HrdjpoG7nxlLdc/8z5rt/nPY2lBDvecP5v9Bnb/PknJmWSzdPSRvvqxFfzukdamxrnxGN9bMJmvzt4vMi0SlJyFJzLJmZmNA94DVgHjnXPJlGP98E0MDRjsnKvqpJwiYDOQBIY553alHIsF1xgbXGNlOq+9h3+fkjPpVGoi1Jh0VNb5/lCVdY1sr27gwx21bNxVy8YdtazcUsWKjZV8uLO2S2WXFuQwqqyAUQMKGVlWSHlRLsX5iV5JPqT7dtY2sGF7Deu217J2WzWrK6q71CfODEb0L2BUWSGjBxQyakABg/vlU1aUy4CiHPoX5rbUZrYMXhKPRebmpKclk47axiY+3FHL+u21rN9Rw8urKrhv6fqWp/Lg+03e+NUjOHJCeia+VXIm2SwdyZlzjpuf/4CfPfg2dY2tn9VRAwqYNrqMQ0b155DRZew/rITcRGYO2KTkLDxReiR6TLBelJocATjndpnZM/iarZnAY52UMwsoCMrZlXrAOZc0s0X4WrW5QHPTxnRdW2SPZvziUbZXN7QkYn5JX/n5OTEOGtGfQ0f75f0t1ZQWdK8ZlYSrJD+HkqE5TA6a3Tjn++F9UOETtdVbq9m0q/Yjv0fOwdptNazdVsNzK7veKjsRjKCZE7c2I5ml5vKp6VvzOW33pZa4+zI60vEzx44/KB29prOPVmcPNzs64pyvza1rTHZpsJvivAQ/P3lq2hIzEek+M+OMWWOZNb6cb9/2Om+u2wnAmooa1lTUcM/r6wHfLP++C2ZHrsmj9KwoJWeTg/XyDo6vwCdIk+g8QepKOQTlpPvamNkrHRwqrKmpobCwsLOXSxbwT9TTlY35Pk+xoNlezPz2auCB4IymdGZ+0mfFY0ayuQlqkPBHpWVFJrKU5r9f/E3XX6fPq0jnzu6Bmv3GpKOxybG7v82HXZ6Zg4XU1NSAr6yQXhal5Kw0WO/o4Hjz/v49UE66rt0ZB1ATfFqky/KDddfa72Uhh2/Dm0Z6z8Oh97339dh77oDoji/abfpdD4fe931Qs+cuv50J8z0vAHpvThhpEaXkbE+aH5V097HivpTT5dc456btdUTSoeaaSL2vvUfveTj0vvc+vefh0PseDr3vvU/veXbKzF6Ku9dcO1XawfGSduels5x0XVtERERERLJUlJKzZcF6UgfHJwbrjvqFdaecdF1bRERERESyVJSSs8XBen4w5H2LYDj72UAN8Pweynk+OG928LrUcmL4gT1Sr5fOa4uIiIiISJaKTHLmnHsPWISfg+z8docvA4qAG1PnGTOzKWY2pV05lcBNwfk/aVfOBUH5C5vnONvXa4uIiIiIiKSK2oAg5wHPAleZ2TzgbWAGfk6y5cAP2p3/drBuP67q94E5wMVmdgjwIvAx4ERgEx9NwPbl2iIiIiIiIi0savPYmNko4KfAAqAc2ADcA1zmnKtod64DcM59ZNILMxsA/Bg4CRgGbAX+AVzqnFvb3WuLiIiIiIikilxyJiIiIiIikoki0+dMREREREQkkyk5ExERERER6QOUnImIiIiIiPQBSs5ERERERET6ACVnIiIiIiIifYCSMxERERERkT5AyZlkNTP7s5m5YJkQdjxRZGYTzewSM3vczNaYWb2ZbTSze81sbtjxZTozG2lm15vZejOrM7NVZnalmZWFHVsUmVm5mZ1tZneb2btmVmNmO8zsaTP7mpnp72ovMbMzUr6/zw47nigzs4+b2Z1mtiH4ntlgZovM7JNhxxZFZnZC8P6uDb5jVprZ7WY2K+zYpOdpnjPJWmb2aeA+oBIoBiY6594NN6roMbO/AZ8H/gU8DVQAk4HPAHHgW865q8KLMHOZ2XjgWWAwcC/wDnAEMBdYBsx2zm0NL8LoMbNzgT8CG4DFwGpgCPBZoBS4E/ic0x/XHmVmo4B/4r9DioFznHP/N9yoosnMfgj8J7AFeAD/uz8QOBRY7Jz7XojhRY6Z/Rr4HrAVuAf/vk/A/81MAF92zt0cXoTS05ScSVYys0H4P+xLgKHA0Sg56xFm9hVgqXPutXb7jwYeARww1jm3IYTwMpqZLQTmAxc6565O2X85cBFwnXPu3LDiiyIzOwYoAh50ziVT9g8FXgRGAac45+4MKcTIMzPDf3fsB9wFfBclZz3CzD4H/B14FPisc25Xu+M5zrmGUIKLoOB7ZB2wGTjIObcp5dhc4HHgfefcuJBClF6g5heSrf4nWJ8fahRZwDl3Q/vELNj/BD45zgWO7O24Mp2ZjcMnZquA/253+MdAFXCGmRX1cmiR5px73Dl3f2piFuz/ELg22JzT64FllwuBY4Cz8L/n0gOCJrq/BqqB09onZgBKzNJuDP7e/IXUxAzAObcY2AUMCiMw6T1KziTrBDU5JwHnqslX6Jr/sDeGGkVmOiZYL9pNorALeAYoBGb2dmBZTL/PPczMPgb8Cvi9c+7JsOOJuCPxtZMPAduCflCXmNm31Pepx6wA6oEjzGxg6gEz+zegH74WUyIsEXYAIr3JzMYAvwduds7dE3Y82Sz4v5iHfyqrm6y9NzlYL+/g+Ap8zdok4LFeiSiLmVkC+HKw+XCYsURV8B7fhO/n9/2Qw8kGhwfrjcCrwIGpB83sSXwT3s29HVhUOecqzOwS4HLgX2Z2D77v2Xh8n7NHgG+EGKL0AiVnkjWCJhp/xQ8AcmHI4WQ1M8sDbgHygO8557aFHFImKg3WOzo43ry/fy/EIr42ZyrwkHNuYdjBRNSl+EEojnLO1YQdTBYYHKzPBd4HjgVewDe9+x1wHHA7asabVs65K81sFXA9cE7KoXeBG9o3d5ToUbNGySjBMOFuL5bUEY0uwg/8cY6Sgb3Tzfe9fVlx/NPv2cBtwG9769+RZSxYa9SnHmZmFwLfwY+WeUbI4USSmR2Bry37nXPuubDjyRLxYG34GrLHnHOVzrm3gJOBtcDRauKYXmb2PeAO4AZ8jVkRMA1YCdxiZv8VXnTSG1RzJpnmPaB2L85fD36uLeDnwF+ccw/1RGARt0/ve3tBYnYz0DwC2OkacnyfNdeMlXZwvKTdedIDzOx8fFPpfwHznHMVIYcUOSnNGZcDPwo5nGzS/BBzpXNuaeoB51xNMFrs1/DTdyhhTgMzm4MfhOVu59zFKYdeNbOT8Z+B75jZtc65lWHEKD1PyZlkFOfcvH186QH4JnRnmdlZHZyzwo/QzMnqj9ZWN973FsEN1q34xOxW/FwtTd0tN4stC9aTOjg+MVh31CdNusnMvg1cAbyJT8zU3KhnFNP6e14bfE+39ycz+xN+oJBv91pk0db8HbO9g+PNyVtBL8SSLT4VrBe3P+CcqzazF/G1lofia9IkgpScSbZYBfy5g2Mn4Oc6ux3YGZwraWRmufiashOBG4Gz2o8wKHut+Y/3fDOLtZtzqx++2WgN8HwYwUVd0Gn/V8DrwCecc1tCDinK6uj4+/sw/I3q0/hkQjU46fMkfuTRiWaW65yrb3d8arBe1atRRVtesO5ouPzm/e3/LyRCNAm1ZD0zW4Imoe4xweAfdwGfxN9gfV2JWXpoEupwmNmPgJ8CrwDz1ZQxPGb2E/y8fpqEugcE/Ye/BPzcOffDlP2fABbiH2iOdc51VLsme8HMTsX3xd4ITHPOrUs5djzwIP5hxUhNBRRdqjkTkZ52LT4x2wKsAy7dTbOkJc65Jb0cVxScBzwLXGVm84C3gRnAXHxzxh+EGFskmdmZ+MSsCXgKuHA3v8+rnHM39HJoIj3hYvx3yg+CebZexI/WeDL+M3COErO0ugM/j9mxwNtmdjfwIfAxfJNHA/63ErNoU3ImIj1tv2A9ED8UdkeW9Hwo0eKce8/MpuOThQX4JHgDcBVwmWp0ekTz73Mc6Khv0xP4kdZEMppzbpOZzQB+iE/IZgK78DU4v3TOqdl0Gjnnkmb2SeB84Av497wQqMBPBn6Vc25RiCFKL1CzRhERERERkT5A85yJiIiIiIj0AUrORERERERE+gAlZyIiIiIiIn2AkjMREREREZE+QMmZiIiIiIhIH6DkTEREREREpA9QciYiIiIiItIHKDkTERERERHpA5SciYiIiIiI9AFKzkRERERERPoAJWciIiIiIiJ9gJIzERERERGRPkDJmYiIiIiISB+g5ExERERERKQPUHImIiIiIiLSByg5ExERERER6QOUnImIiIiIiPQB/x+imst9Un3e3gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 435
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "z_vec = []\n",
    "for _ in range(20_000):\n",
    "    z = slice_sampling(p_hat, z_init=4, w=1, inc=2)\n",
    "    z_vec.append(z)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax2 = ax.twinx()\n",
    "sns.distplot(z_vec, ax=ax)\n",
    "ax2.plot(xrange, p_hat(xrange), c=\"tab:orange\")\n",
    "ax.set_ylabel(\"Samples\", fontsize=13);\n",
    "ax2.set_ylabel(\"Ground Truth\", fontsize=13);"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
